|
Book Review
The AMS does not provide abstracts of book reviews.
You may download the entire review from the links below.
Retrieve article in:
PDF
Book Information
Author(s):
Anthony J.~Tromba
Title:
Teichm\"uller theory in Riemannian geometry
Additional book information:
Birkhauser-Verlag, Basel, 1992, 222 pp., US$29.00. ISBN 3-7643-2735-9
References:
-
- [Ab]
- W. Abikoff, Topics in the real analytic theory of Teichmüller space, Lecture Notes in Math., vol. 820, Springer-Verlag, Berlin and New York, 1980. MR 590044 (82a:32028)
- [A1]
- L. Ahlfors, The complex analytic structure of the space of closed Riemann surfaces, Analytic Functions, Princeton Univ. Press, Princeton, NJ, 1960, pp. 45-66. MR 0124486 (23:A1798)
- [A2]
- -, Some remarks on Teichmüller's space of Riemann surfaces, Ann. of Math. (2) 74 (1961), 171-191. MR 0204641 (34:4480)
- [A3]
- -, Curvature properties of Teichmüller's space, J. Analyse Math. 9 (1961), 161-176. MR 0136730 (25:192)
- [B]
- L. Bers, Correction to "Spaces of Riemann surfaces as bounded domains", Bull. Amer. Math. Soc. (N.S.) 67 (1961), 465-466. MR 0130972 (24:A826)
- [BE]
- L. Bers and L. Ehrenpreis, Holomorphic convexity of Teichmüller spaces, Bull. Amer. Math. Soc. (N.S.) 70 (1964), 761-764. MR 0168800 (29:6056)
- [FK]
- R. Fricke and F. Klein, Vorlesungen über die theorie der automorphen funktionen, Teubner, Lepzig, 1926.
- [HM]
- J. Hubbard and H. Masur, Quadratic differentials and foliations, Acta Math. 142 (1979), 221-224. MR 523212 (80h:30047)
- [J]
- J. Jost, Two dimensional geometric variational problems, Wiley, New York, 1990. MR 1100926 (92h:58045)
- [K]
- L. Keen, On Fricke moduli, Advances in the Theory of Riemann Surfaces, Ann. of Math. Stud., vol. 66, Princeton Univ. Press, Princeton, NJ, 1971, pp. 205-224. MR 0288252 (44:5450)
- [KMS]
- S. Kerckhoff, H. Masur, and J. Smallie, Ergodicity of billiard flows and quadratic differentials, Ann. of Math. (2) 124 (1986), 293-311. MR 855297 (88f:58122)
- [M]
- Y. Minsky, Harmonic maps, length, and energy in Teichmüller space, J. Differential Geom. 35 (1992), 151-217. MR 1152229 (93e:58041)
- [S]
- D. Sullivan, Quasiconformal homeomorphisms and dynamics I: Solution of the Fatou-Julia problem on wandering domains, Ann. of Math. (2) 122 (1985), 401-418. MR 819553 (87i:58103)
- [T1]
- O. Teichmüller, Extremale quasikonforme abbildungen und quadratisihe differentiale, Preuss. Akad. 22 (1939).
- [T2]
- -, Bestimmung der extremalen quasi konforme Abbildungen bei geschlossen orientierten Riemannschen Flächen, Preuss. Akad. 4 (1943).
- [TT]
- F. Tomi and A. J. Tromba, Existence theorems for minimal surfaces of non-zero genus spanning a contour, Mem. Amer. Math. Soc., vol. 71, Amer. Math. Soc., Providence, RI, 1988. MR 920962 (90a:58032)
- [Th1]
- W. P. Thurston, On the geometry and dynamics of diffeomorphisms of surfaces, Bull. Amer. Math. Soc. (N.S.) 19 (1988), 417-431. MR 956596 (89k:57023)
- [Th2]
- -, Earthquakes in two dimensional hyperbolic geometry, preprint.
- [V]
- W. A. Veech, Teichmüller curves in moduli space, Eisenstein series, and an application to triangular billiards, Invent. Math. 97 (1989), 553-583. MR 1005006 (91h:58083a)
- [W]
- M. Wolf, The Teichmüller theory of harmonic maps, J. Differential Geom. 29 (1989), 449-479. MR 982185 (90h:58023)
- [Wlp]
- S. Wolpert, The Fenchel-Nielsen deformation, Ann. of Math. 115 (1982), 501-528. MR 657237 (83g:32024)
Additional Information:
Reviewer(s):
Michael
Wolf
Review Information:
Journal:
Bull. Amer. Math. Soc.
29
(1993),
285-290.
DOI:
10.1090/S0273-0979-1993-00421-X
PII:
S 0273-0979(1993)00421-X
|
