|
Intrinsic distances, measures and geometric function theory
Author:
Shoshichi Kobayashi
Journal:
Bull. Amer. Math. Soc. 82 (1976), 357-416
MSC (1970):
Primary 32H15, 32H20, 32H25; Secondary 32A15, 32A17, 32C10, 32E10, 32F15, 32H10, 32J05, 32J25, 32M05, 30A70, 14E05, 53C55
MathSciNet review:
0414940
Full-text PDF
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-
P.
R. Ahern and Robert
Schneider, Isometries of 𝐻^{∞}, Duke Math. J.
42 (1975), 321–326. MR 0447626
(56 #5936)
-
Lars
V. Ahlfors, An extension of Schwarz’s
lemma, Trans. Amer. Math. Soc.
43 (1938), no. 3,
359–364. MR
1501949, http://dx.doi.org/10.1090/S0002-9947-1938-1501949-6
-
Lars
V. Ahlfors, Conformal invariants: topics in geometric function
theory, McGraw-Hill Book Co., New York, 1973. McGraw-Hill Series in
Higher Mathematics. MR 0357743
(50 #10211)
-
Lars
V. Ahlfors, Curvature properties of Teichmüller’s
space, J. Analyse Math. 9 (1961/1962), 161–176.
MR
0136730 (25 #192)
-
Aldo
Andreotti and Wilhelm
Stoll, Extension of holomorphic maps, Ann. of Math. (2)
72 (1960), 312–349. MR 0123734
(23 #A1056)
-
James
Ax, Some topics in differential algebraic geometry. II. On the
zerosof theta functions, Amer. J. Math. 94 (1972),
1205–1213. MR 0435089
(55 #8051)
-
W.
L. Baily Jr. and A.
Borel, Compactification of arithmetic quotients of bounded
symmetric domains, Ann. of Math. (2) 84 (1966),
442–528. MR 0216035
(35 #6870)
-
Theodore
J. Barth, The Kobayashi distance induces the
standard topology, Proc. Amer. Math. Soc.
35 (1972),
439–441. MR 0306545
(46 #5668), http://dx.doi.org/10.1090/S0002-9939-1972-0306545-X
-
Theodore
J. Barth, Taut and tight complex
manifolds, Proc. Amer. Math. Soc. 24 (1970), 429–431. MR 0252679
(40 #5897), http://dx.doi.org/10.1090/S0002-9939-1970-0252679-6
-
Theodore
J. Barth, Normality domains for families of holomorphic maps,
Math. Ann. 190 (1971), 293–297. MR 0277753
(43 #3486)
-
Theodore
J. Barth, Families of holomorphic maps into
Riemann surfaces, Trans. Amer. Math. Soc.
207 (1975),
175–187. MR 0374462
(51 #10662), http://dx.doi.org/10.1090/S0002-9947-1975-0374462-2
-
S. Bergman [1], Über die Kernfunktion eines Bereiches und ihre Verhalten am Rande, J. Reine Angew. Math. 169 (1933), 1-42; ibid. 172 (1935), 89-128.
-
Lipman
Bers, Uniformization, moduli, and Kleinian groups, Bull.
London Math. Soc. 4 (1972), 257–300. MR 0348097
(50 #595)
-
A.
Bloch, Sur les systèmes de fonctions holomorphes à
variétés linéaires lacunaires, Ann. Sci.
École Norm. Sup. (3) 43 (1926), 309–362
(French). MR
1509274
-
A. Bloch [2], Sur les systèmes de fonctions uniformes satisfaisant à l'équation d'une variété algébrique dont l'irrégularité depasse la dimension, J. Math. Pures Appl. 5 (1926), 19-66.
-
Salomon
Bochner and Deane
Montgomery, Groups on analytic manifolds, Ann. of Math. (2)
48 (1947), 659–669. MR 0022223
(9,174f)
-
Salomon
Bochner and Deane
Montgomery, Groups of differentiable and real or complex analytic
transformations, Ann. of Math. (2) 46 (1945),
685–694. MR 0014102
(7,241d)
-
Armand
Borel, Some metric properties of arithmetic quotients of symmetric
spaces and an extension theorem, J. Differential Geometry
6 (1972), 543–560. Collection of articles dedicated
to S. S. Chern and D. C. Spencer on their sixtieth birthdays. MR 0338456
(49 #3220)
-
Armand
Borel and Raghavan
Narasimhan, Uniqueness conditions for certain holomorphic
mappings, Invent. Math. 2 (1967), 247–255. MR 0209517
(35 #414)
-
Emile
Borel, Sur les zéros des fonctions entières,
Acta Math. 20 (1897), no. 1, 357–396 (French).
MR
1554885, http://dx.doi.org/10.1007/BF02418037
-
H.
J. Bremermann, Holomorphic continuation of the kernel function and
the Bergman metric in several complex variables, Lectures on functions
of a complex variable, The University of Michigal Press, Ann Arbor, 1955,
pp. 349–383. MR 0074058
(17,529f)
-
R. Brody [1], Intrinsic metrics and measures on compact complex manifolds, Harvard Ph.D. thesis, 1975.
-
Herbert
Busemann, The geometry of geodesics, Academic Press Inc., New
York, N. Y., 1955. MR 0075623
(17,779a)
-
Eugenio
Calabi, On Kähler manifolds with vanishing canonical
class, Algebraic geometry and topology. A symposium in honor of S.
Lefschetz, Princeton University Press, Princeton, N. J., 1957,
pp. 78–89. MR 0085583
(19,62b)
-
L.
Andrew Campbell and Roy
H. Ogawa, On preserving the Kobayashi pseudodistance, Nagoya
Math. J. 57 (1975), 37–47. MR 0372258
(51 #8474)
-
C. Carathéodory [1], Über das Schwarzsche Lemma bei analytischen Funktionen von zwei komplexen Verädnderlichen, Math. Ann. 97 (1926), 76-98.
-
C. Carathéodory [2], Über die Geometrie der analytischen Abbildungen, die durch analytische Funktionen von zwei Veränderlichen vermittelt werden, Abh. Math. Sem. Univ. Hamburg 6 (1928), 96-145.
-
C.
Carathéodory, Über die Abbildungen, die durch Systeme
von analytischen Funktionen von mehreren Veränderlichen erzeugt
werden, Math. Z. 34 (1932), no. 1, 758–792
(German). MR
1545283, http://dx.doi.org/10.1007/BF01180619
-
James
A. Carlson, Some degeneracy theorems for entire
functions with values in an algebraic variety, Trans. Amer. Math. Soc. 168 (1972), 273–301. MR 0296356
(45 #5417), http://dx.doi.org/10.1090/S0002-9947-1972-0296356-0
-
James
Carlson and Phillip
Griffiths, A defect relation for equidimensional holomorphic
mappings between algebraic varieties, Ann. of Math. (2)
95 (1972), 557–584. MR 0311935
(47 #497)
-
Henri
Cartan, Sur les systèmes de fonctions holomorphes à
variétés linéaires lacunaires et leurs
applications, Ann. Sci. École Norm. Sup. (3)
45 (1928), 255–346 (French). MR
1509288
-
Henri
Cartan, Quotients of complex analytic spaces, Contributions to
function theory (Internat. Colloq. Function Theory, Bombay, 1960), Tata
Institute of Fundamental Research, Bombay, 1960, pp. 1–15. MR 0139769
(25 #3199)
-
H. Cartan [3], Sur les groupes de transformations analytiques, Actualités Sci, Indust., no. 198, Hermann, Paris, 1935.
-
Henri
Cartan, Sur les fonctions de plusieurs variables complexes.
L’itération des transformations intérieures d’un
domaine borné, Math. Z. 35 (1932), no. 1,
760–773 (French). MR
1545327, http://dx.doi.org/10.1007/BF01186587
-
H. Cartan [5], Les fonctions de deux variables complexes et le problème de la représentation analytique, J. Math. Pures Appl. 10 (1931), 1-114.
-
Henri
Cartan, Sur les fonctions de 𝑛 variables complexes: les
transformations du produit topologique de deux domaines bornés,
Bull. Soc. Math. France 64 (1936), 37–48 (French).
MR
1505044
-
Su
Shing Chen, Carathéodory distance and
convexity with respect to bounded holomorphic functions, Proc. Amer. Math. Soc. 39 (1973), 305–307. MR 0316750
(47 #5298), http://dx.doi.org/10.1090/S0002-9939-1973-0316750-5
-
Shiing-shen
Chern, Complex analytic mappings of Riemann surfaces. I, Amer.
J. Math. 82 (1960), 323–337. MR 0115183
(22 #5985)
-
Shiing-shen
Chern, The integrated form of the first main theorem for complex
analytic mappings in several complex variables, Ann. of Math. (2)
71 (1960), 536–551. MR 0125979
(23 #A3276)
-
Shiing-shen
Chern, On holomorphic mappings of hermitian manifolds of the same
dimension., Entire Functions and Related Parts of Analysis (Proc.
Sympos. Pure Math., La Jolla, Calif., 1966), Amer. Math. Soc., Providence,
R.I., 1968, pp. 157–170. MR 0234397
(38 #2714)
-
Shiing
Shen Chern, Holomorphic curves in the plane, Differential
geometry (in honor of Kentaro Yano), Kinokuniya, Tokyo, 1972,
pp. 73–94. MR 0422693
(54 #10679)
-
Shiing
Shen Chern and Samuel
I. Goldberg, On the volume decreasing property of a class of real
harmonic mappings, Amer. J. Math. 97 (1975),
133–147. MR 0367860
(51 #4102)
-
S.
S. Chern, Harold
I. Levine, and Louis
Nirenberg, Intrinsic norms on a complex manifold, Global
Analysis (Papers in Honor of K. Kodaira), Univ. Tokyo Press, Tokyo, 1969,
pp. 119–139. MR 0254877
(40 #8084)
-
Michael
J. Cowen, Families of negatively curved
Hermitian manifolds, Proc. Amer. Math. Soc.
39 (1973),
362–366. MR 0315163
(47 #3712), http://dx.doi.org/10.1090/S0002-9939-1973-0315163-X
-
M. J. Cowen [2], The Kobayashi, metric on P, Value Distribution Theory, part A, Dekker, New York, 1974, pp. 205-223.
-
Klas
Diederich, Das Randverhalten der Bergmanschen Kernfunktion und
Metrik in streng pseudo-konvexen Gebieten, Math. Ann.
187 (1970), 9–36 (German). MR 0262543
(41 #7149)
-
Alexander
Dinghas, Ein 𝑛-dimensionales Analogon des Schwarz-Pickschen
Flächensatzes für holomorphe Abbildungen der komplexen
Einheitskugel in eine Kähler-Mannigfaltigkeit, Festschr.
Gedächtnisfeier K. Weierstrass, Westdeutscher Verlag, Cologne, 1966,
pp. 477–494 (German). MR 0203077
(34 #2935)
-
Adrien
Douady, Le problème des modules pour les sous-espaces
analytiques compacts d’un espace analytique donné, Ann.
Inst. Fourier (Grenoble) 16 (1966), no. fasc. 1,
1–95 (French). MR 0203082
(34 #2940)
-
Jacques
Dufresnoy, Théorie nouvelle des familles complexes normales.
Applications à l’étude des fonctions
algébroïdes, Ann. Sci. École Norm. Sup. (3)
61 (1944), 1–44 (French). MR 0014469
(7,289f)
-
Clifford
J. Earle, On the Carathéodory metric in Teichmüller
spaces, Discontinuous groups and Riemann surfaces (Proc. Conf., Univ.
Maryland, College Park, Md., 1973), Princeton Univ. Press, Princeton,
N.J., 1974, pp. 99–103. Ann. of Math. Studies, No. 79. MR 0352450
(50 #4937)
-
Clifford
J. Earle and Irwin
Kra, On holomorphic mappings between Teichmüller spaces,
Contributions to analysis (a collection of papers dedicated to Lipman
Bers), Academic Press, New York, 1974, pp. 107–124. MR 0430319
(55 #3324)
-
Alan
Eastwood, A propos des variétés hyperboliques
complètes, C. R. Acad. Sci. Paris Sér. A-B
280 (1975), A1071–A1074 (French). MR 0414941
(54 #3033)
-
Donald
A. Eisenman, Intrinsic measures on complex manifolds and
holomorphic mappings, Memoirs of the American Mathematical Society,
No. 96, American Mathematical Society, Providence, R.I., 1970. MR 0259165
(41 #3807)
-
Donald
A. Eisenman, Holomorphic mappings into tight
manifolds, Bull. Amer. Math. Soc. 76 (1970), 46–48. MR 0252677
(40 #5895), http://dx.doi.org/10.1090/S0002-9904-1970-12362-X
-
Donald
A. Eisenman, Proper holomorphic self-maps of the unit ball,
Math. Ann. 190 (1971), 298–305. MR 0277768
(43 #3501)
-
Hirotaka
Fujimoto, Extensions of the big Picard’s theorem,
Tôhoku Math. J. (2) 24 (1972), 415–422. MR 0333253
(48 #11578)
-
Hirotaka
Fujimoto, On holomorphic maps into a taut complex space,
Nagoya Math. J. 46 (1972), 49–61. MR 0310274
(46 #9375)
-
Hirotaka
Fujimoto, Families of holomorphic maps into the projective space
omitting some hyperplanes, J. Math. Soc. Japan 25
(1973), 235–249. MR 0328131
(48 #6473)
-
Hirotaka
Fujimoto, On the holomorphic automorphism groups of complex
spaces, Nagoya Math. J. 33 (1968), 85–106. MR 0241699
(39 #3038)
-
Hirotaka
Fujimoto, On meromorphic maps into the complex projecive
space, J. Math. Soc. Japan 26 (1974), 272–288.
MR
0346198 (49 #10924)
-
Hirotaka
Fujimoto, On families of meromorphic maps into the complex
projective space, Nagoya Math. J. 54 (1974),
21–51. MR
0367301 (51 #3543)
-
Ian
Graham, Boundary behavior of the
Carathéodory and Kobayashi metrics on strongly pseudoconvex domains
in 𝐶ⁿ with smooth boundary, Trans. Amer. Math. Soc. 207 (1975), 219–240. MR 0372252
(51 #8468), http://dx.doi.org/10.1090/S0002-9947-1975-0372252-8
-
Hans
Grauert and Helmut
Reckziegel, Hermitesche Metriken und normale Familien holomorpher
Abbildungen, Math. Z. 89 (1965), 108–125
(German). MR
0194617 (33 #2827)
-
Hans
Grauert and Reinhold
Remmert, Plurisubharmonische Funktionen in komplexen
Räumen, Math. Z. 65 (1956), 175–194
(German). MR
0081960 (18,475c)
-
Hans
Grauert and Reinhold
Remmert, Komplexe Räume, Math. Ann. 136
(1958), 245–318 (German). MR 0103285
(21 #2063)
-
Mark
L. Green, Holomorphic maps into complex
projective space omitting hyperplanes, Trans.
Amer. Math. Soc. 169 (1972), 89–103. MR 0308433
(46 #7547), http://dx.doi.org/10.1090/S0002-9947-1972-0308433-6
-
Mark
L. Green, The complement of the dual of a plane curve and some new
hyperbolic manifolds, Value distribution theory (Proc. Tulane Univ.
Program, Tulane Univ., New Orleans, 1972-1973), Part A, Dekker, New York,
1974, pp. 119–131. MR 0352541
(50 #5028)
-
Mark
Lee Green, Some Picard theorems for holomorphic maps to algebraic
varieties, Amer. J. Math. 97 (1975), 43–75. MR 0367302
(51 #3544)
-
Mark
L. Green, Some examples and counter-examples in value distribution
theory for several variables, Compositio Math. 30
(1975), no. 3, 317–322. MR 0374498
(51 #10698)
-
Mark
L. Green, Holomorphic mappings to Grassmannians of lines,
Differential geometry (Proc. Sympos. Pure Math., Vol. XXVII, Part 2,
Stanford Univ., Stanford, Calif., 1973), Amer. Math. Soc., Providence,
R.I., 1975, pp. 27–31. MR 0385176
(52 #6041)
-
Phillip
A. Griffiths, Holomorphic mapping into canonical algebraic
varieties, Ann. of Math. (2) 93 (1971),
439–458. MR 0281954
(43 #7668)
-
Phillip
A. Griffiths, Two theorems on extensions of holomorphic
mappings, Invent. Math. 14 (1971), 27–62. MR 0293123
(45 #2202)
-
Phillip
Griffiths, Some remarks on Nevanlinna theory, Value
distribution theory (Proc. Tulane Univ. Program, Tulane Univ., New Orleans,
La., 1972–1973), Part A, Dekker, New York, 1974,
pp. 1–11. MR 0352545
(50 #5032)
-
Phillip
A. Griffiths, Holomorphic mappings: Survey of some
results and discussion of open problems, Bull.
Amer. Math. Soc. 78
(1972), 374–382. MR 0294718
(45 #3786), http://dx.doi.org/10.1090/S0002-9904-1972-12905-7
-
Phillip
A. Griffiths, A Schottky-Landau theorem for holomorphic mappings in
several complex variables, Symposia Mathematica, Vol. X (Convegno di
Geometria Differenziale, INDAM, Rome, 1971), Academic Press, London, 1972,
pp. 229–243. MR 0367299
(51 #3541)
-
Phillip
A. Griffiths, Differential geometry and complex analysis,
Differential geometry (Proc. Sympos. Pure Math., Vol. XXVII, Part 2,
Stanford Univ., Stanford, Calif., 1973), Amer. Math. Soc., Providence, R.
I., 1975, pp. 43–64. MR 0399521
(53 #3365)
-
Phillip
Griffiths and James
King, Nevanlinna theory and holomorphic mappings between algebraic
varieties, Acta Math. 130 (1973), 145–220. MR 0427690
(55 #721)
-
A.
Hirschowitz, Domaines de Stein et fonctions holomorphes
bornés, Math. Ann. 213 (1975), 185–193
(French). MR
0393563 (52 #14372)
-
F.
Hirzebruch, Topological methods in algebraic geometry, Third
enlarged edition. New appendix and translation from the second German
edition by R. L. E. Schwarzenberger, with an additional section by A.
Borel. Die Grundlehren der Mathematischen Wissenschaften, Band 131,
Springer-Verlag New York, Inc., New York, 1966. MR 0202713
(34 #2573)
-
Heinz
Huber, Über analytische Abbildungen Riemannscher Flächen
in sich, Comment. Math. Helv. 27 (1953), 1–73
(German). MR
0054051 (14,862d)
-
Shigeru
Iitaka, On 𝐷-dimensions of algebraic varieties, J.
Math. Soc. Japan 23 (1971), 356–373. MR 0285531
(44 #2749)
-
Shigeru
Iitaka, On algebraic varieties whose universal covering manifolds
are complex affine 3-spaces. I, Number theory, algebraic geometry and
commutative algebra, in honor of Yasuo Akizuki, Kinokuniya, Tokyo, 1973,
pp. 147–167. MR 0409471
(53 #13226)
-
Shigeru
Iitaka, Projective manifolds whose universal covering manifolds are
𝐶³, Manifolds—Tokyo 1973 (Proc. Internat. Conf.,
Tokyo, 1973) Univ. Tokyo Press, Tokyo, 1975, pp. 353–356. MR 0367260
(51 #3502)
-
Masahisa
Inoue, On surfaces of class
𝑉𝐼𝐼₀, Manifolds—Tokyo 1973 (Proc.
Internat. Conf., Tokyo, 1973) Univ. Tokyo Press, Tokyo, 1975,
pp. 389–392. MR 0372263
(51 #8479)
-
Wilhelm
Kaup, Hyperbolische komplexe Räume, Ann. Inst. Fourier
(Grenoble) 18 (1968), no. fasc. 2, 303–330 vii
(1969) (German, with French summary). MR 0245832
(39 #7138)
-
W.
Kaup, Holomorphe Abbildungen in hyperbolische Räume,
Geometry of Homogeneous Bounded Domains (C.I.M.E., 3 Ciclo, Urbino, 1967),
Edizioni Cremonese, Rome, 1968, pp. 111–123 (German). MR 0239119
(39 #478)
-
W.
Kaup, Reelle Transformationsgruppen und invariante Metriken auf
komplexen Räumen, Invent. Math. 3 (1967),
43–70 (German). MR 0216030
(35 #6865)
-
Wilhelm
Kaup, Infinitesimale Transformationsgruppen komplexer
Räume, Math. Ann. 160 (1965), 72–92
(German). MR
0181761 (31 #5988)
-
Hans
Kerner, Über die Automorphismengruppen kompakter komplexer
Räume, Arch. Math. (Basel) 11 (1960),
282–288 (German). MR 0117759
(22 #8533)
-
Norberto
Kerzman, The Bergman kernel function. Differentiability at the
boundary, Math. Ann. 195 (1972), 149–158. MR 0294694
(45 #3762)
-
Peter
Kiernan, On the relations between taut, tight
and hyperbolic manifolds, Bull. Amer. Math.
Soc. 76 (1970),
49–51. MR
0252678 (40 #5896), http://dx.doi.org/10.1090/S0002-9904-1970-12363-1
-
Peter
Kiernan, Hyperbolically imbedded spaces and the big Picard
theorem, Math. Ann. 204 (1973), 203–209. MR 0372260
(51 #8476)
-
Peter
Kiernan, Extensions of holomorphic
maps, Trans. Amer. Math. Soc. 172 (1972), 347–355. MR 0318519
(47 #7066), http://dx.doi.org/10.1090/S0002-9947-1972-0318519-8
-
Peter
Kiernan, On the compactifications of arithmetic
quotients of symmetric spaces, Bull. Amer.
Math. Soc. 80
(1974), 109–110. MR 0326011
(48 #4357), http://dx.doi.org/10.1090/S0002-9904-1974-13376-8
-
Peter
Kiernan, Holomorphic extension theorems, Value distribution
theory (Proc. Tulane Univ. Program, Univ. Tulane, New Orleans, La.,
1972-1973), Part A, Dekker, New York, 1974, pp. 97–107. MR 0352547
(50 #5034)
-
P. J. Kiernan [6], Meromorphic mappings into compact complex spaces of general type, AMS Summer Institute, 1975.
-
Peter
J. Kiernan, Quasiconformal mappings and
Schwarz’s lemma, Trans. Amer. Math.
Soc. 148 (1970),
185–197. MR 0255807
(41 #467), http://dx.doi.org/10.1090/S0002-9947-1970-0255807-6
-
Peter
Kiernan and Shoshichi
Kobayashi, Satake compactification and extension of holomorphic
mappings, Invent. Math. 16 (1972), 237–248. MR 0310297
(46 #9398)
-
Shoshichi
Kobayashi and Peter
Kiernan, Holomorphic mappings into projective space with lacunary
hyperplanes, Nagoya Math. J. 50 (1973),
199–216. MR 0326007
(48 #4353)
-
P. J. Kiernan and S. Kobayashi [3], Comments on Satake compactification and the great Picard theorem, J. Math. Soc. Japan (to appear).
-
Shoshichi
Kobayashi, Volume elements, holomorphic mappings and
Schwarz’s lemma, Entire Functions and Related Parts of Analysis
(Proc. Sympos. Pure Math., LaJolla, Calif., 1966), Amer. Math. Soc.,
Providence, R.I., 1968, pp. 253–260. MR 0237819
(38 #6100)
-
Shoshichi
Kobayashi, Distance, holomorphic mappings and the Schwarz
lemma, J. Math. Soc. Japan 19 (1967), 481–485.
MR
0218621 (36 #1705)
-
Shoshichi
Kobayashi, Invariant distances on complex manifolds and holomorphic
mappings, J. Math. Soc. Japan 19 (1967),
460–480. MR 0232411
(38 #736)
-
Shoshichi
Kobayashi, Hyperbolic manifolds and holomorphic mappings, Pure
and Applied Mathematics, vol. 2, Marcel Dekker Inc., New York, 1970.
MR
0277770 (43 #3503)
-
Shoshichi
Kobayashi, Some remarks and questions concerning the intrinsic
distance, Tôhoku Math. J. (2) 25 (1973),
481–486. MR 0330519
(48 #8856)
-
Shoshichi
Kobayashi, Geometry of bounded domains,
Trans. Amer. Math. Soc. 92 (1959), 267–290. MR 0112162
(22 #3017), http://dx.doi.org/10.1090/S0002-9947-1959-0112162-5
-
Shoshichi
Kobayashi, Negative vector bundles and complex Finsler
structures, Nagoya Math. J. 57 (1975), 153–166.
MR
0377126 (51 #13299)
-
Shoshichi
Kobayashi, Transformation groups in differential geometry,
Springer-Verlag, New York, 1972. Ergebnisse der Mathematik und ihrer
Grenzgebiete, Band 70. MR 0355886
(50 #8360)
-
Shoshichi
Kobayashi, On the automorphism group of a certain class of
algebraic manifolds., Tôhoku Math. J. (2) 11
(1959), 184–190. MR 0112159
(22 #3014)
-
Shoshichi
Kobayashi, On hyperbolic complex spaces and extension
problems, Manifolds—Tokyo 1973 (Proc. Internat. Conf., Tokyo,
1973) Univ. Tokyo Press, Tokyo, 1975, pp. 333–341. MR 0387663
(52 #8502)
-
Shoshichi
Kobayashi, Some problems on intrinsic distances and measures,
Proceedings of the C. Carathéodory International Symposium (Athens,
1973), Greek Math. Soc., Athens, 1974, pp. 306–317. MR 0481123
(58 #1269)
-
Shoshichi
Kobayashi and Takushiro
Ochiai, On complex manifolds with positive tangent bundles, J.
Math. Soc. Japan 22 (1970), 499–525. MR 0275477
(43 #1231)
-
Shoshichi
Kobayashi and Takushiro
Ochiai, Satake compactification and the great Picard theorem,
J. Math. Soc. Japan 23 (1971), 340–350. MR 0296357
(45 #5418)
-
Shoshichi
Kobayashi and Takushiro
Ochiai, Mappings into compact manifolds with negative first Chern
class, J. Math. Soc. Japan 23 (1971), 137–148.
MR
0288316 (44 #5514)
-
Shoshichi
Kobayashi and Takushiro
Ochiai, Meromorphic mappings onto compact complex spaces of general
type, Invent. Math. 31 (1975), no. 1,
7–16. MR
0402127 (53 #5948)
-
K.
Kodaira, On Kähler varieties of restricted type (an intrinsic
characterization of algebraic varieties), Ann. of Math. (2)
60 (1954), 28–48. MR 0068871
(16,952b)
-
K.
Kodaira, On compact complex analytic surfaces. I, Ann. of
Math. (2) 71 (1960), 111–152. MR 0132556
(24 #A2396)
-
K.
Kodaira, Holomorphic mappings of polydiscs into compact complex
manifolds, J. Differential Geometry 6 (1971/72),
33–46. MR
0301228 (46 #386)
-
K.
Kodaira, On the structure of compact complex analytic surfaces.
I, Amer. J. Math. 86 (1964), 751–798. MR 0187255
(32 #4708)
-
R.
D. Kulle, Holomorphe Abbildungen beschränkter symmetrischer
Gebiete, Nachr. Akad. Wiss Göttingen Math.-Phys. Kl. II (1973),
191–196 (German). MR 0357847
(50 #10313)
-
Rolf-Dieter
Kulle, Eigentliche, holomorphe Abbildungen der Kugel in sich,
Abh. Math. Sem. Univ. Hamburg 41 (1974), 5–16
(German). MR
0357848 (50 #10314)
-
Myung
H. Kwack, Generalization of the big Picard theorem, Ann. of
Math. (2) 90 (1969), 9–22. MR 0243121
(39 #4445)
-
Myung
H. Kwack, A Schwarz lemma for canonical
algebraic manifolds, Proc. Amer. Math. Soc.
41 (1973),
219–222. MR 0326008
(48 #4354), http://dx.doi.org/10.1090/S0002-9939-1973-0326008-6
-
Myung
H. Kwack, Mappings into hyperbolic
spaces, Bull. Amer. Math. Soc. 79 (1973), 695–697. MR 0320369
(47 #8908), http://dx.doi.org/10.1090/S0002-9904-1973-13265-3
-
Myung
H. Kwack, Some classical theorems for holomorphic mappings into
hyperbolic manifolds, Differential geometry (Proc. Sympos. Pure Math.,
Vol. XXVII, Stanford Univ., Stanford, Calif., 1973), Part 2, Amer. Math.
Soc., Providence, R.I., 1975, pp. 99–104. MR 0486657
(58 #6368)
-
M. H. Kwack [5], Holomorphic mappings into complex spaces.
-
Serge
Lang, Diophantine geometry, Interscience Tracts in Pure and
Applied Mathematics, No. 11, Interscience Publishers (a division of John
Wiley & Sons), New York-London, 1962. MR 0142550
(26 #119)
-
Serge
Lang, Higher dimensional diophantine
problems, Bull. Amer. Math. Soc. 80 (1974), 779–787. MR 0360464
(50 #12914), http://dx.doi.org/10.1090/S0002-9904-1974-13516-0
-
Yu.
I. \cyr{M}anin, Kubicheskie formy: algebra, geometriya,
arifmetika, Izdat. “Nauka”, Moscow, 1972 (Russian). MR 0360592
(50 #13040)
-
Howard
Masur, The curvature of Teichmüller space, A crash course
on Kleinian groups (Lectures, Special Session, Annual Winter Meeting, Amer.
Math. Soc., San Francisco, Calif., 1974), Springer, Berlin, 1974,
pp. 122–123. Lecture Notes in Math., Vol. 400. MR 0390294
(52 #11120)
-
Hideyuki
Matsumura, On algebraic groups of birational transformations,
Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. (8)
34 (1963), 151–155. MR 0159825
(28 #3041)
-
Hideyuki
Matsumura and Paul
Monsky, On the automorphisms of hypersurfaces, J. Math. Kyoto
Univ. 3 (1963/1964), 347–361. MR 0168559
(29 #5819)
-
Yozo
Matsushima, Holomorphic immersions of a compact Kähler
manifold into complex tori, J. Differential Geometry
9 (1974), 309–328. MR 0350057
(50 #2550)
-
B. G. Moĭšezon [1], On n-dimensional compact complex varieties with n algebraically independent meromorphic functions. I-III, Izv. Akad. Nauk SSSR Ser. Mat. 30 (1966), 133-174, 345-386, 621-656; English transl., Amer. Math. Soc. Transl. (2) 63 (1967), 51-177. MR 35 #7355a, b, c.
-
P. Montel [1], Leçons sur les familles normales de fonctions analytiques et leurs applications, Gauthier-Villars, Paris, 1927.
-
P. Montel [2], Sur les familles des fonctions analytiques, qui admettent des valeurs exceptionnelles dans un domaine, Ann. Sci. École Norm. Sup. 23 (1912).
-
Raghavan
Narasimhan, Introduction to the theory of analytic spaces,
Lecture Notes in Mathematics, No. 25, Springer-Verlag, Berlin, 1966. MR 0217337
(36 #428)
-
Rolf
Nevanlinna, Analytic functions, Translated from the second
German edition by Phillip Emig. Die Grundlehren der mathematischen
Wissenschaften, Band 162, Springer-Verlag, New York, 1970. MR 0279280
(43 #5003)
-
R. Nevanlinna [2], Le théorème de Picard-Borel et la théorie des functions méromorphes, Gauthier-Villars, Paris, 1939.
-
Takushiro
Ochiai, Some remark on the defect relation of holomorphic
curves, Osaka J. Math. 11 (1974), 483–501. MR 0404702
(53 #8502)
-
Takushiro
Ochiai, On holomorphic curves in algebraic varieties with ample
irregularity, Several complex variables (Proc. Sympos. Pure Math.,
Vol. XXX, Part 2, Williams Coll., Williamstown, Mass., 1975), Amer. Math.
Soc., Providence, R.I., 1977, pp. 255–258. MR 0508157
(58 #22678)
-
Donald
Alfred Pelles, Holomorphic maps which preserve intrinsic
measure, Amer. J. Math. 97 (1975), 1–15. MR 0367300
(51 #3542)
-
Klaus
Peters, Über holomorphe und meromorphe Abbildungen gewisser
kompakter komplexer Mannigfaltigkeiten, Arch. Math. (Basel)
15 (1964), 222–231 (German). MR 0166798
(29 #4071)
-
Konrad
Peters, Starrheitssätze für Produkte normierter
Vektorräume endlicher Dimension und für Produkte hyperbolischer
komplexer Räume, Math. Ann. 208 (1974),
343–354 (German). MR 0361169
(50 #13615)
-
E. Picard [1], Sur une propriété des fonctions entières, C. R. Acad. Sci. Paris 88 (1879), 1024-1027.
-
Émile
Picard, Mémoire sur les fonctions entières, Ann.
Sci. École Norm. Sup. (2) 9 (1880), 145–166
(French). MR
1508689
-
I.
I. Pjateckiĭ-Šapiro, Geometriya klassicheskikh
oblastei i teoriya avtomorfnykh fuiktsii, Sovremennye Problemy
Matematiki, Gosudarstv. Izdat. Fiz.-Mat. Lit., Moscow, 1961 (Russian). MR 0136770
(25 #231)
-
I.
I. Pjateckiĭ-Šapiro, Arithmetic groups in complex
domains, Uspehi Mat. Nauk 19 (1964), no. 6
(120), 93–121 (Russian). MR 0190377
(32 #7790)
-
H. Reckziegel [1], Hyperbolische Räume und normale Familien holomorpher Abbildungen, Dissertation, Univ. Göttingen, 1967.
-
Hans-Jörg
Reiffen, Die differentialgeometrischen Eigenschaften der
invarianten Distanzfunktion von Carathéodory, Schr. Math. Inst.
Univ. Münster No. 26 (1963), iii+66 (German). MR 0158093
(28 #1320)
-
Hans-Jörg
Reiffen, Die Carathéodorysche Distanz und ihre
zugehörige Differentialmetrik, Math. Ann. 161
(1965), 315–324 (German). MR 0196133
(33 #4325)
-
Reinhold
Remmert, Holomorphe und meromorphe Abbildungen komplexer
Räume, Math. Ann. 133 (1957), 328–370
(German). MR
0092996 (19,1193d)
-
Willi
Rinow, Die innere Geometrie der metrischen Räume, Die
Grundlehren der mathematischen Wissenschaften, Bd. 105, Springer-Verlag,
Berlin, 1961. MR
0123969 (23 #A1290)
-
Raphael
M. Robinson, A generalization of Picard’s and related
theorems, Duke Math. J. 5 (1939), no. 1,
118–132. MR
1546112, http://dx.doi.org/10.1215/S0012-7094-39-00513-2
-
H.
L. Royden, Remarks on the Kobayashi metric, Several complex
variables, II (Proc. Internat. Conf., Univ. Maryland, College Park, Md.,
1970), Springer, Berlin, 1971, pp. 125–137. Lecture Notes in
Math., Vol. 185. MR 0304694
(46 #3826)
-
H.
L. Royden, The extension of regular holomorphic
maps, Proc. Amer. Math. Soc. 43 (1974), 306–310. MR 0335851
(49 #629), http://dx.doi.org/10.1090/S0002-9939-1974-0335851-X
-
H.
L. Royden, Holomorphic fiber bundles with
hyperbolic fiber, Proc. Amer. Math. Soc. 43 (1974), 311–312.
MR
0338465 (49 #3229), http://dx.doi.org/10.1090/S0002-9939-1974-0338465-0
-
H.
L. Royden, Automorphisms and isometries of Teichmüller
space, Advances in the Theory of Riemann Surfaces (Proc. Conf., Stony
Brook, N.Y., 1969), Ann. of Math. Studies, No. 66. Princeton Univ. Press,
Princeton, N.J., 1971, pp. 369–383. MR 0288254
(44 #5452)
-
H.
L. Royden, Metrics on Teichmüller space, A crash course
on Kleinian groups (Lectures, Special Session, Annual Winter Meeting, Amer.
Math. Soc., San Francisco, Calif., 1974), Springer, Berlin, 1974,
pp. 71–78. Lecture Notes in Math., Vol. 400. MR 0397023
(53 #883)
-
I.
R. Šafarevič, B.
G. Averbuh, Ju.
R. Vaĭnberg, A.
B. Žižčenko, Ju.
I. Manin, B.
G. Moĭšezon, G.
N. Tjurina, and A.
N. Tjurin, Algebraic surfaces, Trudy Mat. Inst. Steklov.
75 (1965), 1–215 (Russian). MR 0190143
(32 #7557)
-
Fumio
Sakai, Degeneracy of holomorphic maps with ramification,
Invent. Math. 26 (1974), 213–229. MR 0355118
(50 #7595)
-
Fumio
Sakai, Defect relations and ramification, Proc. Japan Acad.
50 (1974), 723–728. MR 0422697
(54 #10683)
-
Fumio
Sakai, Defect relations for equidimensional holomorphic maps,
J. Fac. Sci. Univ. Tokyo Sect. IA Math. 23 (1976),
no. 3, 561–580. MR 0422698
(54 #10684)
-
P.
Samuel, Lectures on old and new results on algebraic curves,
Notes by S. Anantharaman. Tata Institute of Fundamental Research Lectures
on Mathematics, No. 36, Tata Institute of Fundamental Research, Bombay,
1966. MR
0222088 (36 #5140)
-
Ichiro
Satake, On compactifications of the quotient spaces for
arithmetically defined discontinuous groups, Ann. of Math. (2)
72 (1960), 555–580. MR 0170356
(30 #594)
-
Bernard
Shiffman, Extension of positive line bundles and meromorphic
maps, Invent. Math. 15 (1972), no. 4,
332–347. MR 0374489
(51 #10689)
-
Bernard
Shiffman, Extension of holomorphic maps into hermitian
manifolds, Math. Ann. 194 (1971), 249–258. MR 0291507
(45 #598)
-
Bernard
Shiffman, Applications of geometric measure theory to value
distribution theory for meromorphic maps, Value distribution theory
(Proc. Tulane Univ. Program, Tulane Univ., New Orleans, La.,
1972–1973), Part A, Dekker, New York, 1974, pp. 63–95. MR 0377122
(51 #13295)
-
Tetsuji
Shioda, Algebraic cycles on certain 𝐾3 surfaces in
characteristic𝑝, Manifolds–Tokyo 1973 (Proc. Internat.
Conf., Tokyo, 1973) Univ. Tokyo Press, Tokyo, 1975,
pp. 357–364. MR 0435084
(55 #8046)
-
Nessim
Sibony, Prolongement des fonctions holomorphes bornées et
métrique de Carathéodory, Invent. Math.
29 (1975), no. 3, 205–230 (French). MR 0385164
(52 #6029)
-
Nessim
Sibony, Prolongement analytique des fonctions holomorphes
bornées, Séminaire Pierre Lelong (Analyse) (année
1972–1973), Springer, Berlin, 1974, pp. 44–66. Lecture
Notes in Math., Vol. 410 (French). MR 0377112
(51 #13286)
-
Yum
Tong Siu, Techniques of extension of analytic objects, Marcel
Dekker Inc., New York, 1974. Lecture Notes in Pure and Applied Mathematics,
Vol. 8. MR
0361154 (50 #13600)
-
Karl
Stein, Fortsetzung holomorpher Korrespondenzen, Invent. Math.
6 (1968), 78–90 (German). MR 0232963
(38 #1286)
-
Wilhelm
Stoll, Über meromorphe Abbildungen komplexer Räume.
I, Math. Ann. 136 (1958), 201–239 (German). MR 0103283
(21 #2061)
-
Wilhelm
Stoll, Value distribution of holomorphic maps into compact complex
manifolds., Lecture Notes in Mathematics, Vol. 135, Springer-Verlag,
Berlin, 1970. MR
0267138 (42 #2040)
-
Yoshihiko
Suyama, On the first main theorem of holomorphic mappings from
𝐶² into 𝑄_{𝑛-1}(𝐶), Osaka J.
Math. 11 (1974), 425–449. MR 0352549
(50 #5036)
-
Kenji
Ueno, Classification of algebraic varieties. I, Compositio
Math. 27 (1973), 277–342. MR 0360582
(50 #13030)
-
Hermann
Weyl, Meromorphic Functions and Analytic Curves, Annals of
Mathematics Studies, no. 12, Princeton University Press, Princeton, N. J.,
1943. MR
0009057 (5,94d)
-
M. W. Wright [1], The behavior of the differential Kobayashi pseudometric In deformations of complex manifolds, Ph.D. Thesis, Stanford University, Stanford, Calif., 1974.
-
H.
Wu, A remark on holomorphic sectional curvature, Indiana Univ.
Math. J. 22 (1972/73), 1103–1108. MR 0315642
(47 #4191)
-
H.
Wu, Normal families of holomorphic mappings, Acta Math.
119 (1967), 193–233. MR 0224869
(37 #468)
-
Hung-hsi
Wu, The equidistribution theory of holomorphic curves, Annals
of Mathematics Studies, No. 64, Princeton University Press, Princeton,
N.J., 1970. MR
0273070 (42 #7951)
-
H.
Wu, Mappings of Riemann surfaces (Nevanlinna theory), Entire
Functions and Related Parts of Analysis (Proc. Sympos. Pure Math., La
Jolla, Calif., 1966), Amer. Math. Soc., Providence, R.I., 1968,
pp. 480–532. MR 0237772
(38 #6053)
-
H.
Wu, Remarks on the first main theorem in equidistribution theory.
I, J. Differential Geometry 2 (1968), 197–202.
MR
0276500 (43 #2247a)
-
R.
E. Greene and H.
Wu, Curvature and complex
analysis, Bull. Amer. Math. Soc. 77 (1971), 1045–1049. MR 0283240
(44 #473), http://dx.doi.org/10.1090/S0002-9904-1971-12856-2
-
Shing
Tung Yau, On the curvature of compact Hermitian manifolds,
Invent. Math. 25 (1974), 213–239. MR 0382706
(52 #3588)
-
Shing
Tung Yau, Intrinsic measures of compact complex manifolds,
Math. Ann. 212 (1975), 317–329. MR 0367261
(51 #3503)
- P. R. Ahern and R. Schneider [1], Isometries of H, Duke Math. J. 42 (1975), 321-326. MR 447626
- L. V. Ahlfors [1], An extension of Schwarz's lemma, Trans. Amer. Math. Soc. 43 (1938), 359-364. MR 1501949
- L. V. Ahlfors [2], Conformal invariants, Topics in Geometric Function Theory, McGraw-Hill, New York, 1973. MR 357743
- L. V. Ahlfors [3], Curvature properties of Teichmüller's space, J. Analyse Math. 9 (1961/62), 161-176. MR 25 #192. MR 136730
- A. Andreotti and W. Stoll [1], Extension of holomorphic maps, Ann. of Math. (2) 72 (1960), 312-349. MR 23 #A1056. MR 123734
- J. Ax [1], Some topics in differential algebraic geometry. II:, On the zeros of theta functions, Amer. J. Math. 94 (1972), 1205-1213. MR 435089
- W. L. Baily, Jr. and A. Borel [1], Compactification of arithmetic quotients of bounded symmetric domains, Ann. of Math. (2) 84 (1966), 442-528. MR 35 #6870. MR 216035
- T. J. Barth [1], The Kobayashi distance induces the standard topology, Proc. Amer. Math. Soc. 35 (1972), 439-441. MR 46 #5668. MR 306545
- T. J. Barth [2], Taut and tight complex manifolds, Proc. Amer. Math. Soc. 24 (1970), 429-431. MR 40 #5897. MR 252679
- T. J. Barth [3], Normality domains for families of holomorphic maps, Math. Ann. 190 (1971), 293-297. MR 43 #3486. MR 277753
- T. J. Barth [4], Families of holomorphic maps into Riemann surfaces, Trans. Amer. Math. Soc. 207 (1975), 175-187. MR 374462
- S. Bergman [1], Über die Kernfunktion eines Bereiches und ihre Verhalten am Rande, J. Reine Angew. Math. 169 (1933), 1-42; ibid. 172 (1935), 89-128.
- L. Bers [1], Uniformization, moduli, and Kleinian groups, Bull. London Math. Soc. 4 (1972), 257-300. MR 348097
- A. Bloch [1], Sur les systèmes de fonctions holomorphes à variétés linéaires lacunaires, Ann. Sci. École Norm. Sup. 43 (1926), 309-362. MR 1509274
- A. Bloch [2], Sur les systèmes de fonctions uniformes satisfaisant à l'équation d'une variété algébrique dont l'irrégularité depasse la dimension, J. Math. Pures Appl. 5 (1926), 19-66.
- S. Bochner and D. Montgomery [1], Groups on analytic manifolds, Ann. of Math. (2) 48 (1947), 659-669. MR 9, 174. MR 22223
- S. Bochner and D. Montgomery [2], Groups of differentiable and real or complex analytic transformations, Ann. of Math. (2) 46 (1945), 685-694. MR 7, 241. MR 14102
- A. Borel [1], Some metric properties of arithmetic quotients of symmetric spaces and an extension theorem, J. Differential Geometry 6 (1972), 543-560. MR 49 #3220. MR 338456
- A. Borel and R. Narasimhan [1], Uniqueness conditions for certain holomorphic mappings, Invent. Math. 2 (1967), 247-255. MR 35 #414. MR 209517
- E. Borel [1], Sur les zéros des fonctions entières, Acta Math. 20 (1897), 357-396. MR 1554885
- H.-J. Bremermann [1], Holomorphic continuation of the kernel function and the Bergman metric in several complex variables, Lectures on Functions of a Complex Variable, Univ. of Michigan Press, Ann Arbor, Mich., 1955, pp. 349-383. MR 17, 529. MR 74058
- R. Brody [1], Intrinsic metrics and measures on compact complex manifolds, Harvard Ph.D. thesis, 1975.
- H. Busemann [1], The geometry of geodesics, Academic Press, New York, 1955. MR 17, 779. MR 75623
- E. Calabi [1], On Kähler manifolds with vanishing canonical class, Algebraic Geometry and Topology (Sympos. in Honor of S. Lefschetz), Princeton Univ. Press, Princeton, N.J., 1957, pp. 78-89. MR 19, 62. MR 85583
- L. A. Campbell and R. H. Ogawa [1], On preserving the pseudodistance, Nagoya Math. J. 57 (1975) 37-47. MR 372258
- C. Carathéodory [1], Über das Schwarzsche Lemma bei analytischen Funktionen von zwei komplexen Verädnderlichen, Math. Ann. 97 (1926), 76-98.
- C. Carathéodory [2], Über die Geometrie der analytischen Abbildungen, die durch analytische Funktionen von zwei Veränderlichen vermittelt werden, Abh. Math. Sem. Univ. Hamburg 6 (1928), 96-145.
- C. Carathéodory [3], Über die Abbildungen, die durch Systeme von analytische Funktionen von mehreren Veranderlichen erzeugt werden, Math. Z. 34 (1932), 758-792. MR 1545283
- J. A. Carlson [1], Some degeneracy theorems for entire functions with values in an algebraic variety, Trans. Amer. Math. Soc. 168 (1972), 273-301. MR 45 #5417. MR 296356
- J. A. Carlson and P. A. Griffiths [1], A defect relation for equidimensional holomorphic mappings between algebraic varieties, Ann. of Math. (2) 95 (1972), 557-584. MR 47 #497. MR 311935
- H. Cartan [1], Sur les systèmes de fonctions holomorphes à variétés linéaires lacunaires et leurs applications, Ann. Sci. École Norm. Sup. 45 (1928), 255-346. MR 1509288
- H. Cartan [2], Quotients of complex analytic spaces, Contributions to Function Theory (Internat. Colloq., Bombay, 1960), Tata Institute of Fundamental Research, Bombay, 1960, pp. 1-15. MR 25 #3199. MR 139769
- H. Cartan [3], Sur les groupes de transformations analytiques, Actualités Sci, Indust., no. 198, Hermann, Paris, 1935.
- H. Cartan [4], Sur les fonctions de plusieurs variables complexes. L'itération des transformations interieurs d'un domaine borne, Math. Z. 35 (1932), 760-773. MR 1545327
- H. Cartan [5], Les fonctions de deux variables complexes et le problème de la représentation analytique, J. Math. Pures Appl. 10 (1931), 1-114.
- H. Cartan [6], Les transformations du produit topologique de deux domaines bornés, Bull. Soc. Math. France 64 (1936), 37-48. MR 1505044
- S.-S. Chen [1], Carathéodory distance and convexity with respect to bounded holomorphic functions, Proc. Amer. Math. Soc. 39 (1972), 305-307; corrections, ibid. 45 (1974), 468. MR 47 #5298. MR 316750
- S. S. Chern [1], Complex analytic mappings of Riemann surfaces. I, Amer. J. Math. 82 (1960), 323-337. MR 22 #5985. MR 115183
- S. S. Chern [2], The integrated form of the first main theorem for complex analytic mappings in several complex variables, Ann. of Math. (2) 71 (1960), 536-551. MR 23 #A3276. MR 125979
- S. S. Chern [3], On holomorphic mappings of Hermitian manifolds of the same dimension, Proc. Sympos. Pure Math., vol. 11, Amer. Math. Soc., Providence, R.I., 1968, pp. 157-170. MR 38 #2714. MR 234397
- S. S. Chern [4], Holomorphic curves in the plane, Differential Geometry (In Honor of K. Yano), Kinokuniya, Tokyo, 1972, pp. 73-94. MR 422693
- S. S. Chern and S. I. Goldberg [1], On the volume decreasing property of a class of real harmonic mappings, Amer. J. Math. 97 (1975), 133-147. MR 367860
- S. S. Chern, H. I. Levine and L. Nirenberg [1], Intrinsic norms on a complex manifold, Global Analysis (Papers in Honor of K. Kodaira), Univ. of Tokyo Press, Tokyo, 1969, pp. 119-139. MR 40 #8084. MR 254877
- M. J. Cowen [1], Families of negatively curved Hermitian manifolds, Proc. Amer. Math. Soc. 39 (1973), 362-366. MR 47 #3712. MR 315163
- M. J. Cowen [2], The Kobayashi, metric on P, Value Distribution Theory, part A, Dekker, New York, 1974, pp. 205-223.
- K. Diederich [1], Das Randverhalten der Bergmanschen Kernfunktion und Metrik in streng pseudokonvexen Gebieten, Math. Ann. 187 (1970), 9-36. MR 41 #7149. MR 262543
- A. Dinghas [1], Ein n-dimensionales Analogon des Schwarz-Pickschen Flächensatzes für holomorphe Abbildungen der komplexen Einheitskugel in eine Kähler Mannigfaltigkeit, Festschr. Gedächtnisfeier K. Weierstrass, Westdeutscher Verlag, Cologne, 1966, pp. 477-494. MR 34 #2935. MR 203077
- A. Douady [1], Le problème des modules pour les sous-espaces analytiques compacts d'un espace analytique donné, Ann. Inst. Fourier (Grenoble) 16 (1966), fasc. 1, 1-95. MR 34 #2940. MR 203082
- H. Dufresnoy [1], Théorie nouvelle des familles complexes normales. Applications à l'étude des fonctions algébroïdes, Ann. Sci. École Norm. Sup. (3) 61 (1944), 1-44. MR 7, 289. MR 14469
- C. J. Earle [1], On the Carathéodory metric in Teichmüller spaces, Discontinuous Groups and Riemann Surfaces, Ann. of Math. Studies, no. 79, Princeton Univ. Press, Princeton, N.J., 1974, pp. 99-104. MR 352450
- C. J. Earle and I. Kra [1], On holomorphic mappings between Teichmüller spaces, Contributions to Analysis, Academic Press, New York, 1974, pp. 107-124. MR 430319
- A. Eastwood [1], A propos des variétés hyperboliques complètes, C.R. Acad. Sci. Paris, 280 (1975), 1071-1074. MR 414941
- D. Eisenman (now Pelles) [1], Intrinsic measures on complex manifolds and holomorphic mappings, Mem. Amer. Math. Soc. No. 96 (1970). MR 41 #3807. MR 259165
- D. Eisenman (now Pelles) [2], Holomorphic mappings into tight manifolds, Bull. Amer. Math. Soc. 76 (1970), 46-48. MR 40 #5895. MR 252677
- D. Eisenman (now Pelles) [3], Proper holomorphic self-maps of the unit ball, Math. Ann. 190 (1971), 298-305; corrections, ibid. 202 (1973), 135-136. MR 43 #3501; erratum, 43, p. 1698. MR 277768
- H. Fujimoto [1], Extensions of the big Picard's theorem, Tôhoku Math. J. (2) 24 (1972), 415-422. MR 48 #11578. MR 333253
- H. Fujimoto [2], On holomorphic maps into a taut complex space, Nagoya Math. J. 46 (1972), 49-61. MR 46 #9375. MR 310274
- H. Fujimoto [3], Families of holomorphic maps into the projective space omitting some hyperplanes, J. Math. Soc. Japan 25 (1973), 235-249. MR 48 #6473. MR 328131
- H. Fujimoto [4], On the holomorphic automorphism groups of complex spaces, Nagoya Math. J. 33 (1968), 85-106. MR 39 #3038. MR 241699
- H. Fujimoto [5], On meromorphic maps into the complex projective space, J. Math. Soc. Japan 26 (1974), 272-288. MR 346198
- H. Fujimoto [6], On families of meromorphic maps into the complex projective space, Nagoya Math. J. 54 (1974), 21-51. MR 367301
- I. Graham [1], Boundary behavior of the Carathéodory and Kobayashi metrics on strongly pseudo-convex domains in C, Trans. Amer. Math. Soc. 207 (1975), 219-240. MR 372252
- H. Grauert and H. Reckziegel [1], Hermitesche Metriken und normale Familien holomorpher Abbildungen, Math. Z. 89 (1965), 108-125. MR 33 #2827. MR 194617
- H. Grauert and R. Remmert [1], Plurisubharmonische Funktionen in komplexen Räumen, Math. Z. 65 (1956), 175-194. MR 18, 475. MR 81960
- H. Grauert and R. Remmert [2], Komplexe Räume, Math. Ann. 136 (1958), 245-318. MR 21 #2063. MR 103285
- M. L. Green [1], Holomorphic maps into complex projective space omitting hyperplanes, Trans. Amer. Math. Soc. 169 (1972), 89-103. MR 46 #7547. MR 308433
- M. L. Green [2], The complement of the dual of a plane curve and some new hyperbolic manifolds, Value Distribution Theory, part A, Dekker, New York, 1974, pp. 119-131. MR 352541
- M. L. Green [3], Some Picard theorems for holomorphic maps to algebraic varieties, Amer. J. Math. 97 (1975), 43-75. MR 367302
- M. L. Green [4], Some examples and counter-examples in value distribution theory for several variables, Compositio Math. (to appear) MR 374498
- M. L. Green [5], Holomorphic mappings to Grassmannians of lines, Proc. Sympos. Pure Math. vol. 27, Part II, Amer. Math. Soc., Providence, R.I., 1975, pp. 27-31. MR 385176
- P. A. Griffiths [1], Holomorphic mappings into canonical algebraic varieties, Ann. of Math. (2) 93 (1971), 439-458. MR 43 #7668. MR 281954
- P. A. Griffiths [2], Two theorems on extensions of holomorphic mappings, Invent. Math. 14 (1971), 27-62. MR 45 #2202. MR 293123
- P. A. Griffiths [3], Some remarks on Nevanlinna theory, Value Distribution Theory, part A, Dekker, New York, 1974, pp. 1-11. MR 352545
- P. A. Griffiths [4], Holomorphic mappings: Survey of some results and discussion of open problems, Bull. Amer. Math. Soc. 78 (1972), 374-382. MR 45 #3786. MR 294718
- P. A. Griffiths [5], A Schottky-Landau theorem for holomorphic mappings in several complex variables, Symposia Mathematica, vol. 10 (Convegno Geom. Diff. INDAM, Rome), Academic Press, New York, pp. 229-243. MR 367299
- P. A. Griffiths [6], Differential geometry and complex analysis, Proc. Sympos. Pure Math., vol. 27, part II, Amer. Math. Soc., Providence, R. I., 1975, pp. 43-64. MR 399521
- P. A. Griffiths and J. King [1], Nevanlinna theory and holomorphic mappings between algebraic varieties, Acta Math. 130 (1973), 145-220. MR 427690
- A. Hirschowitz [1], Domaines de Stein et fonctions holomorphes bornées, Math. Ann. 213 (1975), 185-193. MR 393563
- F. Hirzebruch [1], Topological methods in algebraic geometry, 3rd ed., Die Grundlehren der math. Wissenschaften, Band 131, Springer-Verlag, New York, 1966. MR 34 #2573. MR 202713
- H. Huber [1], Über analytische Abbildungen Riemannscher Flächen in sich, Comment. Math. Helv. 27 (1953), 1-72. MR 54051
- S. Iitaka [1], On D-dimensions of algebraic varieties, J. Math. Soc. Japan 23 (1971), 356-373. MR 44 #2749. MR 285531
- S. Iitaka [2], On algebraic varieties whose universal covering manifolds are complex affine 3-spaces. I, Number Theory, Algebraic Geometry and Commutative Algebra (In Honor of Y. Akizuki), Kinokuniya, Tokyo, 1973, pp. 147-167. MR 409471
- S. Iitaka [3], Projective manifolds whose universal covering manifolds are C, Manifolds Tokyo 1973, pp. 353-356. MR 367260
- M. Inoue [1], On surfaces of class VII0, Manifolds Tokyo, 1973, pp. 389-392. MR 372263
- W. Kaup [1], Hyperbolische komplexe Räume, Ann. Inst. Fourier (Grenoble) 18 (1968), fasc. 2, 303-330 (1969). MR 39 #7138. MR 245832
- W. Kaup [2], Holomorphe Abbildungen in hyperbolische komplexe Räume, Geometry of Homogeneous Bounded Domains (C.I.M.E., 3° Ciclo, Urbino, 1967), Edizioni Cremonese, Rome, 1968, pp. 111-123. MR 39 #478. MR 239119
- W. Kaup [3], Reelle Transformationsgruppen und invariante Metriken auf komplexen Räumen, Invent. Math. 3 (1967), 43-70. MR 35 #6865. MR 216030
- W. Kaup [4], Infinitesimale Transformationsgruppen komplexer Räume, Math. Ann. 160 (1965), 72-92. MR 31 #5988. MR 181761
- H. Kerner [1], Über die Automorphismengruppen kompakter komplexer Räume, Arch. Math. 11 (1960), 282-288. MR 22 #8533. MR 117759
- N. Kerzman [1], The Bergman kernel function. Differentiability at the boundary, Math. Ann. 195 (1972), 149-158. MR 45 #3762. MR 294694
- P. J. Kiernan [1], On the relations between taut, tight and hyperbolic manifolds, Bull. Amer. Math. Soc. 76 (1970), 49-51. MR 40 #5896. MR 252678
- P. J. Kiernan [2], Hyperbolically imbedded spaces and the big Picard theorem, Math. Ann. 204 (1973), 203-209. MR 372260
- P. J. Kiernan [3], Extensions of holomorphic maps, Trans. Amer. Math. Soc. 172 (1972), 347-355. MR 47 #7066. MR 318519
- P. J. Kiernan [4], On the compactifications of arithmetic quotients of symmetric spaces, Bull. Amer. Math. Soc. 80 (1974), 109-110. MR 48 #4357. MR 326011
- P. J. Kiernan [5], Holomorphic extension theorems, Value Distribution Theory, part A, Dekker, New York, 1974, pp. 97-107. MR 352547
- P. J. Kiernan [6], Meromorphic mappings into compact complex spaces of general type, AMS Summer Institute, 1975.
- P. J. Kiernan [7], Quasiconformal mappings and Schwarz's lemma, Trans. Amer. Math. Soc. 148 (1970), 185-197. MR 41 #467. MR 255807
- P. J. Kiernan and S. Kobayashi [1], Satake compactification and extension of holomorphic mappings, Invent. Math. 16 (1972), 237-248. MR 310297
- P. J. Kiernan and S. Kobayashi [2], Holomorphic mappings into projective space with lacunary hyperplanes, Nagoya Math. J. 50 (1973), 199-216. MR 48 #4353. MR 326007
- P. J. Kiernan and S. Kobayashi [3], Comments on Satake compactification and the great Picard theorem, J. Math. Soc. Japan (to appear).
- S. Kobayashi [1], Volume elements, holomorphic mappings and Schwarz's lemma, Proc. Sympos. Pure Math., vol. 11, Amer. Math. Soc., Providence, R. I., 1968, pp. 253-260. MR 38 #6100. MR 237819
- S. Kobayashi [2], Distance, holomorphic mappings and the Schwarz lemma, J. Math. Soc. Japan 19 (1967), 481-485. MR 36 #1705. MR 218621
- S. Kobayashi [3], Invariant distances on complex manifolds and holomorphic mappings, J. Math. Soc. Japan 19 (1967), 460-480. MR 38 #736. MR 232411
- S. Kobayashi [4], Hyperbolic manifolds and holomorphic mappings, Pure and Appl. Math., 2, Dekker, New York, 1970. MR 43 #3503. MR 277770
- S. Kobayashi [5], Some remarks and questions concerning the intrinsic distance, Tôhoku Math. J. (2) 25 (1973), 481-486, MR 48 #8856. MR 330519
- S. Kobayashi [6], Geometry of bounded domains, Trans. Amer. Math. Soc. 92 (1959), 267-290. MR 22 #3017. MR 112162
- S. Kobayashi [7], Negative vector bundles and complex Finsler structures, Nagoya Math. J. 57 (1975), 153-166. MR 377126
- S. Kobayashi [8], Transformation groups in differential geometry, Ergebnisse der mathematik und ihrer Grenzgebiete, Band 70, Springer-Verlag, Berlin and New York, 1972. MR 355886
- S. Kobayashi [9], On the automorphism group of a certain class of algebraic manifolds, Tôhoku Math. J. (2) 11 (1959), 184-190. MR 22 #3014. MR 112159
- S. Kobayashi [10], On hyperbolic complex spaces and extension problems, Manifolds Tokyo 1973, pp. 333-342. MR 387663
- S. Kobayashi [11], Some problems on intrinsic distances and measures, The Greek Math. Soc., C. Carathéodory Sympos., 1973, pp. 306-317. MR 481123
- S. Kobayashi and T. Ochiai [1], On complex manifolds with positive tangent bundles, J. Math. Soc. Japan 22 (1970), 499-525. MR 43 #1231. MR 275477
- S. Kobayashi and T. Ochiai [2], Satake compactification and the great Picard theorem, J. Math. Soc. Japan 23 (1971), 340-350. MR 45 #5418. MR 296357
- S. Kobayashi and T. Ochiai [3], Mappings into compact complex manifolds with negative first Chern class, J. Math. Soc. Japan 23 (1971), 137-148. MR 44 #5514. MR 288316
- S. Kobayashi and T. Ochiai [4], Meromorphic mappings into compact complex manifolds of general type, Invent. Math. (to appear). MR 402127
- K. Kodaira [1], On Kähler varieties of restricted type (an intrinsic characterization of algebraic varieties), Ann. of Math. (2) 60 (1954), 28-48. MR 16, 952. MR 68871
- K. Kodaira [2], On compact complex analytic surfaces. I-III, Ann. of Math. (2) 71 (1960), 111-152; (2) 77 (1963), 563-626; (2) 78 (1963), 1-40. MR 24 #A2396; 32 #1730. MR 132556
- K. Kodaira [3], Holomorphic mappings of polydiscs into compact complex manifolds, J. Differential Geometry 6 (1971/72), 33-46. MR 46 #386. MR 301228
- K. Kodaira [4], On the structure of compact complex analytic surfaces. I-IV, Amer. J. Math. 86 (1964), 751-798; 88 (1966), 682-721; 90 (1968), 55-83, 1048-1066. MR 32 #4708; 34 #5112; 37 #3603; 39 #473. MR 187255
- R.-D. Kulle [1], Holomorphe Abbildungen beschränkter symmetrischer Gebiete, Nachr. Akad. Wiss. Göttingen II Math.-Phys. 1973, 191-196. MR 357847
- R.-D. Kulle [2], Eigentliche, holomorphs Abbildungen der Kugel in sich, Abh. Math. Sem. Univ. Hamburg 41 (1974), 5-16. MR 357848
- M. H. Kwack [1], Generalization of the big Picard theorem, Ann. of Math. (2) 90 (1969), 9-22. MR 39 #4445. MR 243121
- M. H. Kwack [2], A Schwarz lemma for canonical algebraic manifolds, Proc. Amer. Math. Soc. 41 (1973), 219-222. MR 48 #4354. MR 326008
- M. H. Kwack [3], Mappings into hyperbolic spaces, Bull. Amer. Math. Soc. 79 (1973), 695-697. MR 47 #8908. MR 320369
- M. H. Kwack [4], Some classical theorems for holomorphic mappings into hyperbolic manifolds, Proc. Sym-pos. Pure Math., vol. 27, Amer. Math. Soc., Providence, R.I., 1975, pp. 99-104. MR 486657
- M. H. Kwack [5], Holomorphic mappings into complex spaces.
- S. Lang [1], Diophantine geometry, Interscience Tracts in Pure and Appl. Math., no. 11, Interscience, New York, 1962. MR 26 #119. MR 142550
- S. Lang [2], Higher dimensional diophantine problems, Bull. Amer. Math. Soc. 80 (1974), 779-787. MR 360464
- Ju. I. Manin [1], Cubic forms. Algebra, geometry, arithmetic, "Nauka, " Moscow, 1972; English transl., North-Holland Math. Library, vol. 4, North-Holland, Amsterdam; American Elsevier, New York, 1974. MR 360592
- H. Masur [1], On the negative curvature of Teichmüller space, Univ. of Minnesota Ph.D. Thesis, 1974; The curvature of Teichmüller space, Lecture Notes in Math., vol. 400, Springer-Verlag, Berlin and New York, 1974, pp. 122-123. MR 390294
- H. Matsumura [1], On algebraic groups of birational transformations, Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. (8) 34 (1963), 151-155. MR 28 #3041. MR 159825
- H. Matsumura and P. Monsky [1], On the automorphisms of hypersurfaces, J. Math. Kyoto Univ. 3 (1963/64), 347-361. MR 29 #5819. MR 168559
- Y. Matsushima [1], Holomorphic immersions of a complex Kähler manifold into complex tori, J. Differential Geometry 9 (1974), 309-328. MR 350057
- B. G. Moĭšezon [1], On n-dimensional compact complex varieties with n algebraically independent meromorphic functions. I-III, Izv. Akad. Nauk SSSR Ser. Mat. 30 (1966), 133-174, 345-386, 621-656; English transl., Amer. Math. Soc. Transl. (2) 63 (1967), 51-177. MR 35 #7355a, b, c.
- P. Montel [1], Leçons sur les familles normales de fonctions analytiques et leurs applications, Gauthier-Villars, Paris, 1927.
- P. Montel [2], Sur les familles des fonctions analytiques, qui admettent des valeurs exceptionnelles dans un domaine, Ann. Sci. École Norm. Sup. 23 (1912).
- R. Narasimhan [1], Introduction to the theory of analytic spaces, Lecture Notes in Math., no. 25, Springer-Verlag, Berlin and New York, 1966. MR 36 #428. MR 217337
- R. Nevanlinna [1], Analytic functions, Die Grundlehren der math. Wissenschaften, Band 162, Springer-Verlag, Berlin and New York, 1970. MR 43 #5003. MR 279280
- R. Nevanlinna [2], Le théorème de Picard-Borel et la théorie des functions méromorphes, Gauthier-Villars, Paris, 1939.
- T. Ochiai [1], Some remarks on the defect relation of holomorphic curves, Osaka J. Math. 11 (1974), 483-501. MR 404702
- T. Ochiai [2], On holomorphic curves in algebraic varieties with ample irregularity (to appear). MR 508157
- D. A. Pelles (formerly Eisenman), [1], Holomorphic maps which preserve intrinsic measure, Amer. J. Math. 97 (1975), 1-15. MR 367300
- Klaus Peters [1], Über holomorphe und meromorphe Abbildungen gewisser kompakter Mannigfaltigkeiten, Arch. Math. 15 (1964), 222-231. MR 166798
- Konrad Peters [1], Starheitssätze für Pridukte normierte Vektorraume endlicher Dimension und für Pridukte hyperbolischer komplexer Räume, Math. Ann. 208 (1974), 343-354. MR 361169
- E. Picard [1], Sur une propriété des fonctions entières, C. R. Acad. Sci. Paris 88 (1879), 1024-1027.
- E. Picard [2], Mémoire sur les fonctions entières, Ann. Sci. École Norm. Sup. (2) 9 (1880), 145-166; Selecta, Paris, 1928, pp. 1-21. MR 1508689
- I. I. Pjateckiĭ-Sapiro [1], Geometry of classical domains and theory of automorphic functions, Fizmatgiz, Moscow, 1961; French transl., Dunod, Paris, 1966; English transl., Math. and its Applications, vol. 8, Gordon and Breach, New York, 1969. MR 25 #231; 33 #5949; 40 #5908. MR 136770
- I. I. Pjateckiĭ-Sapiro [2], Arithmetic groups in complex domains, Uspehi Mat. Nauk 19 (1964), no. 6 (120), 93-121= Russian Math. Surveys 19 (1964), no. 6, 83-109. MR 32 #7790. MR 190377
- H. Reckziegel [1], Hyperbolische Räume und normale Familien holomorpher Abbildungen, Dissertation, Univ. Göttingen, 1967.
- H.-J. Reiffen [1], Die differentialgeometrischen Eigenschaften der invarianten Distanzfunktion von Carathéodory, Schr. Math. Inst. Univ. Münster No. 26 (1963). MR 28 #1320. MR 158093
- H.-J. Reiffen [2], Die Carathéodorysche Distanz und ihre zugehörige Differentialmetrik, Math. Ann. 161 (1965), 315-324. MR 33 #4325. MR 196133
- R. Remmert [1], Holomorphe und meromorphe Abbildungen komplexer Räume, Math. Ann. 133 (1957), 328-370. MR 19, 1193. MR 92996
- W. Rinow [1], Die innere Geometrie der metrischen Räume, Die Grundlehren der math. Wissenschaften, Band 105, Springer-Verlag, Berlin, 1961. MR 23 #A1290. MR 123969
- R. M. Robinson [1], A generalization of Picard's and related theorems, Duke Math. J. 5 (1939), 118-132. MR 1546112
- H. L. Royden [1], Remarks on the Kobayashi metric, Several Complex Variables, II (Proc. Internat. Conf., Univ. of Maryland, College Park, Md., 1970), Lecture Notes in Math., vol. 185, Springer-Verlag, Berlin, 1971, pp. 125-137. MR 46 #3826. MR 304694
- H. L. Royden [2], The extension of regular holomorphic maps, Proc. Amer. Math. Soc. 43 (1974), 306-310. MR 49 #629. MR 335851
- H. L. Royden [3], Holomorphic fiber bundles with hyperbolic fiber, Proc. Amer. Math. Soc. 43 (1974), 311-312. MR 49 #3229. MR 338465
- H. L. Royden [4], Automorphisms and isometries of Teichmüller spaces, Advances in the Theory of Riemann Surfaces (Proc. Conf., Stony Brook, N.Y., 1969), Ann. of Math. Studies, no. 66, Princeton Univ. Press, Princeton, N.J., 1971, pp. 369-383. MR 44 #5452. MR 288254
- H. L. Royden [5], Metrics on Teichmüller spaces, Lecture Notes in Math., vol. 400, Springer-Verlag, Berlin and New York, 1974, pp. 71-78. MR 397023
- I. R. Šafarevič, et al. [1], Algebraic surfaces, Trudy Mat. Inst. Steklov. 75 (1965)=Proc. Steklov Inst. Math. 75 (1965). MR 32 #7557; 35 #6685. MR 190143
- F. Sakai [1], Degeneracy of holomorphic maps with ramification, Invent. Math. 16 (1974), 212-229. MR 355118
- F. Sakai [2], Defect relations and ramification, Proc. Japan Acad. Sci. 50 (1974), 723-728. MR 422697
- F. Sakai [3], Defect relations for equidimensional holomorphic maps (to appear). MR 422698
- P. Samuel [1], Lectures on old and new results on algebraic curves, Lectures on Math., no. 36, Tata Institute of Fundamental Research, Bombay, 1966. MR 36 #5140. MR 222088
- I. Satake [1], On compactifications of the quotient spaces for arithmetically defined discontinuous groups, Ann. of Math. (2) 72 (1960), 555-580. MR 30 #594. MR 170356
- B. Shiftman [1], Extension of positive line bundles and meromorphic maps, Invent. Math. 15 (1972), 332-347. MR 374489
- B. Shiftman [2], Extension of holomorphic maps into Hermitian manifolds, Math. Ann. 194 (1971), 249-258. MR 45 #598. MR 291507
- B. Shiftman [3], Applications of geometric measure theory to value-distribution theory for meromorphic maps, Value Distribution Theory, part A, Dekker, New York, 1974, pp. 63-95. MR 377122
- T. Shioda [1], Algebraic cycles on certain K3 surfaces in characteristic p, Manifolds Tokyo 1973, pp. 357-364. MR 435084
- N. Sibony [1], Prolongement des fonctions holomorphes bornées et métrique de Carathéodory, Invent. Math. 29 (1975), 205-230. MR 385164
- N. Sibony [2], Prolongement analytique des fonctions holomorphes bornées, Séminaire Lelong 1972/73, Lecture Notes in Math., vol. 410, Springer-Verlag, Berlin and New York, 1974, pp. 44-66. MR 377112
- Y. T. Siu [1], Techniques of extension of analytic objects, Lecture Notes Pure and Appl. Math., no. 8, Dekker, New York, 1974. MR 361154
- K. Stein [1], Fortsetzung holomorpher Korrespondenzen, Invent. Math. 6 (1968), 78-90. MR 38 #1286. MR 232963
- W. Stoll [1], Über meromorphe Abbildungen komplexer Räume. I, II, Math. Ann. 136 (1958), 201-239, 393-429. MR 21 #2061; #2062. MR 103283
- W. Stoll [2], Value distribution of holomorphic maps into compact complex manifolds, Lecture Notes in Math., vol. 135, Springer-Verlag, Berlin and New York, 1970. MR 42 #2040. MR 267138
- Y. Suyama [1], On the first main theorem of holomorphic mappings from C, Osaka J. Math. 11 (1974), 425-449. K. Ueno, [1], Classification of algebraic varieties, Manifolds Tokyo 1973, pp. 329-332. MR 352549
- K. Ueno [2], Classification of algebraic varieties. I, Compositio Math. 27 (1973), 277-342. T. Urata, [1], On meromorphic mappings into taut complex analytic spaces, Nagoya Math. J. 50 (1973), 49-65. MR 360582
- H. Weyl [1], Meromorphic functions and analytic curves, Ann. of Math. Studies, no. 12, Princeton Univ. Press, Princeton, N.J., 1943. MR 5, 94. MR 9057
- M. W. Wright [1], The behavior of the differential Kobayashi pseudometric In deformations of complex manifolds, Ph.D. Thesis, Stanford University, Stanford, Calif., 1974.
- H.-H. Wu [1], A remark on holomorphic sectional curvature, Indiana Univ. Math. J. 22 (1972/73), 1103-1108. MR 47 #4191. MR 315642
- H.-H. Wu [2], Normal families of holomorphic mappings, Acta Math. 119 (1967), 193-233. MR 37 #468. MR 224869
- H.-H. Wu [3], The equidistribution theory of holomorphic curves, Ann. of Math. Studies, no. 64, Princeton Univ. Press, Princeton, N.J., 1970. MR 42 #7951. MR 273070
- H.-H. Wu [4], Mappings of Riemann surfaces (Nevanlinna theory), Proc. Sympos. Pure Math., vol. 11, Amer. Math. Soc., Providence, R.I., 1968, pp. 480-532. MR 38 #6053. MR 237772
- H.-H. Wu [5], Remarks on the first main theorem in equidistribution theory. I-IV, J. Differential Geometry 2 (1968), 197-202, 369-384; 3 (1969), 83-94, 433-446. MR 43 #2247a, b, c, d. MR 276500
- H.-H. Wu and R. E. Greene [1], Curvature and complex analysis, Bull. Amer. Math. Soc. 77 (1971), 1045-1049. MR 44 #473. MR 283240
- S. T. Yau [1], On the curvature of compact hermitian manifolds, Invent. Math. 15 (1974), 213-239. MR 382706
- S. T. Yau [2], Intrinsic measures of compact complex manifolds, Math. Ann. 212 (1975), 317-329. MR 367261
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