Holomorphic fiber bundles with hyperbolic fiber
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- by H. L. Royden PDF
- Proc. Amer. Math. Soc. 43 (1974), 311-312 Request permission
Abstract:
The purpose of the present note is to show that holomorphic fiber bundles with hyperbolic fiber are almost trivial: They are trivial if the base is simply connected, and have a simple structure otherwise.References
- Peter Kiernan, Some results concerning hyperbolic manifolds, Proc. Amer. Math. Soc. 25 (1970), 588–592. MR 257393, DOI 10.1090/S0002-9939-1970-0257393-9
- Shoshichi Kobayashi, Invariant distances on complex manifolds and holomorphic mappings, J. Math. Soc. Japan 19 (1967), 460–480. MR 232411, DOI 10.2969/jmsj/01940460
- Shoshichi Kobayashi, Hyperbolic manifolds and holomorphic mappings, Pure and Applied Mathematics, vol. 2, Marcel Dekker, Inc., New York, 1970. MR 0277770
- H. L. Royden, Remarks on the Kobayashi metric, Several complex variables, II (Proc. Internat. Conf., Univ. Maryland, College Park, Md., 1970) Lecture Notes in Math., Vol. 185, Springer, Berlin, 1971, pp. 125–137. MR 0304694
Additional Information
- © Copyright 1974 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 43 (1974), 311-312
- MSC: Primary 32L05; Secondary 32H20
- DOI: https://doi.org/10.1090/S0002-9939-1974-0338465-0
- MathSciNet review: 0338465