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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality 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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Asymptotically hyperbolic metrics on a unit ball admitting multiple horizons
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by ZhenYang Li, YuGuang Shi and Peng Wu PDF
Proc. Amer. Math. Soc. 136 (2008), 4003-4010 Request permission

Abstract:

In this paper, we construct an asymptotically hyperbolic metric with scalar curvature -6 on the unit ball $\mathbf {D}^3$, which contains multiple horizons.
References
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Additional Information
  • ZhenYang Li
  • Affiliation: Key Laboratory of Pure and Applied Mathematics, School of Mathematics Science, Peking University, Beijing, 100871, People’s Republic of China
  • Address at time of publication: School of Sciences, Hangzhou Dianzi University, Xiasha Hangzhou, Zhejiang, 310018, People’s Republic of China
  • Email: lzymath@163.com
  • YuGuang Shi
  • Affiliation: Key Laboratory of Pure and Applied mathematics, School of Mathematics Science, Peking University, Beijing, 100871, People’s Republic of China
  • Email: ygshi@math.pku.edu.cn
  • Peng Wu
  • Affiliation: Key Laboratory of Pure and Applied Mathematics, School of Mathematics Science, Peking University, Beijing, 100871, People’s Republic of China
  • Address at time of publication: Department of Mathematics, University of California, Santa Barbara, Santa Barbara, California 93106
  • MR Author ID: 845776
  • Email: wupenguin@gmail.com
  • Received by editor(s): March 29, 2007
  • Received by editor(s) in revised form: October 11, 2007
  • Published electronically: June 26, 2008
  • Additional Notes: The research of the second author was partially supported by the 973 Program (2006CB805905) and the Fok YingTong Education Foundation
  • Communicated by: Richard A. Wentworth
  • © Copyright 2008 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 136 (2008), 4003-4010
  • MSC (2000): Primary 83C57; Secondary 53C44
  • DOI: https://doi.org/10.1090/S0002-9939-08-09397-0
  • MathSciNet review: 2425741