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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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Chern-Osserman inequality for minimal surfaces in $\mathbf {H}^n$
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by Chen Qing and Cheng Yi PDF
Proc. Amer. Math. Soc. 128 (2000), 2445-2450 Request permission

Abstract:

We obtain Chern-Osserman’s inequality of a complete properly immersed minimal surface in hyperbolic $n$-space, provided the $L^{2}$-norm of the second fundamental form of the surface is finite.
References
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Additional Information
  • Chen Qing
  • Affiliation: Department of Mathematics, The University of Science and Technology of China, Hefei, Anhui 230026, People’s Republic of China
  • Email: qchen@ustc.edu.cn
  • Cheng Yi
  • Affiliation: Department of Mathematics, The University of Science and Technology of China, Hefei, Anhui 230026, People’s Republic of China
  • Email: chengy@ustc.edu.cn
  • Received by editor(s): September 14, 1998
  • Published electronically: December 7, 1999
  • Communicated by: Christopher Croke
  • © Copyright 2000 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 128 (2000), 2445-2450
  • MSC (1991): Primary 53A20; Secondary 53C42
  • DOI: https://doi.org/10.1090/S0002-9939-99-05334-4
  • MathSciNet review: 1664325