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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Holomorphic fiber bundles with hyperbolic fiber


Author: H. L. Royden
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
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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.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1974-0338465-0
Keywords: Holomorphic fiber bundles, hyperbolic manifolds, Kobayashi, hyperbolicity, tight manifolds
Article copyright: © Copyright 1974 American Mathematical Society