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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

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

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Hyperbolicity of a complex manifold and other equivalent properties
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by Kyong T. Hahn and Kang T. Kim PDF
Proc. Amer. Math. Soc. 91 (1984), 49-53 Request permission

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
  • © Copyright 1984 American Mathematical Society
  • 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