Rigidity of Asymptotically Hyperbolic Manifolds

被引：0
|
作者：
Yuguang Shi
Gang Tian
机构：
[1] School of Mathematics Science,Key Laboratory of Pure and Applied Mathematics
[2] Peking University,Department of Mathematics
[3] Massachusetts Institute of Technology,Department of Mathematics
[4] Princeton University,undefined
来源：
Communications in Mathematical Physics | 2005年 / 259卷
关键词：
Neural Network; Manifold; Statistical Physic; Complex System; Nonlinear Dynamics;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we prove a rigidity theorem of asymptotically hyperbolic manifolds only under the assumptions on curvature. Its proof is based on analyzing asymptotic structures of such manifolds at infinity and a volume comparison theorem.
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页码：545 / 559
页数：14
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