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Asymptotically hyperbolic metrics on a unit ball admitting multiple horizons
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
MathSciNet review:
2425741
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Abstract:
In this paper, we construct an asymptotically hyperbolic metric with scalar curvature -6 on the unit ball  , 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
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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