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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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The value distribution of the hyperbolic Gauss map
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by Zu-Huan Yu PDF
Proc. Amer. Math. Soc. 125 (1997), 2997-3001 Request permission

Abstract:

In this paper, we investigate the hyperbolic Gauss map of a complete CMC-1 surface in $H^3(-1)$, and prove that it cannot omit more than four points unless the surface is a horosphere.
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Additional Information
  • Zu-Huan Yu
  • Affiliation: Institute of Mathematics, Fudan University, Shanghai 200433, People’s Republic of China
  • Address at time of publication: Fundamental Department, Jiaozuo Institute of Technology, Jiaozuo 454159, Henan Province, People’s Republic of China
  • Received by editor(s): November 1, 1995
  • Received by editor(s) in revised form: April 2, 1996
  • Additional Notes: Partially supported by NNSFC and SFECC
  • Communicated by: Christopher Croke
  • © Copyright 1997 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 125 (1997), 2997-3001
  • MSC (1991): Primary 53A10; Secondary 53C42
  • DOI: https://doi.org/10.1090/S0002-9939-97-03937-3
  • MathSciNet review: 1401758