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Proceedings of the American Mathematical Society

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

 

 

Hyperbolicity of a complex manifold and other equivalent properties


Authors: Kyong T. Hahn and Kang T. Kim
Journal: Proc. Amer. Math. Soc. 91 (1984), 49-53
MSC: Primary 32H20
DOI: https://doi.org/10.1090/S0002-9939-1984-0735562-9
MathSciNet review: 735562
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Abstract: Defining the notions of Schottky, Landau and Picard properties on a plane domain, the first author [3] proved that a domain in $ {\mathbf{C}}$ having any of these properties is equivalent to the hyperbolicity of the domain.

In this paper the authors extend these notions to higher-dimensional case and obtain other various equivalent conditions for the hyperbolicity of a complex manifold.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1984-0735562-9
Keywords: Schottky property, Landau property, Picard property, Bloch mapping, Kobayashi metric and hyperbolic manifold
Article copyright: © Copyright 1984 American Mathematical Society