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