|
Complex manifolds and mathematical physics
Author(s):
R. O.
Wells Jr.
Journal:
Bull. Amer. Math. Soc.
1
(1979),
296-336.
MSC (1970):
Primary 32-02, 32C35, 32L05, 32L10, 32G05, 53C65, 83C50
MathSciNet review:
520077
Retrieve article in:
PDF
References |
Similar articles |
Additional information
References:
- 1.
- A. Andreotti and F. Norguet, Problème de Levi et convexité holomorphe pour les classes de cohomologie, Ann. Sculoa Norm. Sup. Pisa 20 (1966), 197-241. MR 199439
- 2.
- M. Atiyah, T. Hitchen and I. Singer, Deformations of instantons, Proc. Nat. Acad. Sri. U.S.A. 74 (1977), 2662-2663. MR 458424
- 3.
- M. Atiyah and R. Ward, Instantons and algebraic geometry, Comm. Math. Phys. 55 (1977), 111-124. MR 494098
- 4.
- W. Barth, Some properties of stable rank-2 vector bundles on P, Math. Ann. 226 (1977), 125-150. MR 429896
- 5.
- S. S. Chern and J. Moser, Real hypersurfaces in complex manifolds, Acta Math. 133 (1976), 219-271. MR 425155
- 6.
- G. deRham, Variétés differentiables, Hermann, Paris, 1960.
- 7.
- R. Godement, Topologie algébrique et théorie des faisceaux, Hermann, Paris, 1964. MR 345092
- 8.
- R. C. Gunning and H. Rossi, Analytic functions of several complex variables, Prentice-Hall, Englewood Cliffs, N. J., 1965. MR 180696
- 9.
- R. O. Hansen and E. T. Newman, A complex Minkowski space approach to twistors, General Relativity and Gravitation 6, (1975), 361-385. MR 413985
- 10.
- R. Harvey and B. Lawson, On boundaries of complex analytic varieties. I, Ann. of Math. (2) 102 (1975), 233-290; II, Ann. of Math. 106 (1977), 213-238. MR 499285
- 11.
- F. Hirzebruch, Topological methods in algebraic geometry, Springer-Verlag, Berlin and New York, 1966. MR 202713
- 12.
- L. Hughston, Twistor description of low-lying baryon states, Twistor Newsletter No. 1, pp. 1-6, March 1976, Oxford.
- 13.
- N. Kuiper, On conformal, flat spaces in the large, Ann. of Math. (2) 50 (1949), 916-924. MR 31310
- 14.
- D. Lerner, The non-analytic version of Kerr's theorem, Twistor Newsletter No. 4, April 1977, Oxford.
- 15.
- D. Lerner, The inverse twistor function for positive frequency fields, Twistor Newsletter No. 5, July 1977, Oxford.
- 16.
- James Morrow and K. Kodaira, Complex manifolds, Holt, New York, 1971. MR 302937
- 17.
- R. Penrose, Twistor algebra, J. Math. Phys. 8 (1967), 345-366. MR 216828
- 18.
- R. Penrose, The structure of space-time, Batelle Rencontres 1967, (C. M. de Witt and J. A. Wheeler eds.), Benjamin, New York, 1968.
- 19.
- R. Penrose, Twistor quantisation and curved space-time, Inter. J. Theoret. Phys. 1 (1968), 61-99.
- 20.
- R. Penrose, Solutions of the zero-rest-mass equations, J. Math. Phys. 10 (1969), 38-39.
- 21.
- R. Penrose, Twistor theory, its aims and achievements, Quantum Gravity: An Oxford Symposium (Isham, Penrose and Sciama eds.), Clarendon Press, Oxford, 1975.
- 22.
- R. Penrose, Nonlinear gravitons and curved twistor theory, General Relativity and Gravitation 7 (1976), 31-52. MR 439004
- 23.
- R. Penrose, The twistor program, Reports on Math. Phys. 12 (1977), 65-76. MR 465032
- 24.
- R. Penrose, Massless fields and sheaf cohomology, Twistor Newsletter No. 5, July 1977, Oxford.
- 25.
- R. Penrose and M. A. H. MacCallum, Twistor theory: an approach to the quantisation of fields and space-time, Physics Reports (Section C of Physics Letter), 6 (1972), 241-316. MR 475660
- 26.
- I. Robinson, Null electromagnetic fields, J. Math. Phys. 2 (1961), 290-291. MR 127369
- 27.
- N. Tanaka, On the pseudo-conformal geometry of hypersurfaces of the space of n complex variables, J. Math. Soc. Japan 14 (1962), 397-429. MR 145555
- 28.
- A. Trautman, F. A. E. Pirani and H. Bondi, Lectures on general relativity, Brandeis Summer Institute in Theoretical Physics, 1964, vol. 1, Prentice-Hall, Englewood Cliffs, N. J., 1965.
- 29.
- R. Ward, The twisted photon, Twistor Newsletter No. 1, March 1976, Oxford.
- 30.
- R. Ward, Curved twistor space, thesis, D. Phil., Oxford, 1977.
- 31.
- R. Ward, On self-dual gauge fields, Physics Letters, 61A (1977), 81-82. MR 443823
- 32.
- R. O. Wells, Jr., Differential analysis on complex manifolds, Prentice-Hall, Englewood Cliffs, N. J., 1973. MR 515872
- 33.
- R. O. Wells, Jr. and J. A. Wolf, Poincaré series and automorphic cohomology on flag domains, Ann. of Math. (2) 105 (1977), 397-448. MR 447645
- 34.
- J. A. Wolf, The action of a real semisimple group on a complex flag manifold. I: Orbit structure and holomorphic arc components, Bull. Amer. Math. Soc. 75 (1969), 1121-1237; II: Unitary representations on partially holomorphic cohomology spaces, Mem. Amer. Math. Soc. no. 138, Amer. Math. Soc., Providence, R. I., 1974. MR 251246
- 35.
- N. Woodhouse, Twistor cohomology without sheaves, Twistor Newsletter No. 2, June 1976, Oxford.
Similar Articles:
Retrieve articles in Bulletin of the American Mathematical Society
with MSC
(1970):
32-02, 32C35, 32L05, 32L10, 32G05, 53C65, 83C50
Retrieve articles in all Journals with MSC
(1970):
32-02, 32C35, 32L05, 32L10, 32G05, 53C65, 83C50
Additional Information:
DOI:
10.1090/S0273-0979-1979-14596-8
PII:
S 0273-0979(1979)14596-8
|
Comments: webmaster@ams.org