Proceedings of the American Mathematical Society

Author(s): ZhenYang Li; YuGuang Shi; Peng Wu
Journal: Proc. Amer. Math. Soc. 136 (2008), 4003-4010.
MSC (2000): Primary 83C57; Secondary 53C44
Posted: June 26, 2008
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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.

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Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 83C57, 53C44

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
Email: wupenguin@gmail.com

DOI: 10.1090/S0002-9939-08-09397-0
PII: S 0002-9939(08)09397-0
Keywords: Asymptotically hyperbolic metric, horizon, hyperbolic space
Received by editor(s): March 29, 2007,
Received by editor(s) in revised form: October 11, 2007
Posted: 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 of article: Copyright 2008, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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