Rigidity of Asymptotically Hyperbolic Manifolds
Rigidity of Asymptotically Hyperbolic Manifolds
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DOI：
10.1007/s00220-005-1370-1
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发表时间：
2004-02
影响因子：
2.4
通讯作者：
Yuguang Shi;G. Tian
中科院分区：
文献类型：
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作者：
Yuguang Shi;G. Tian
本文仅在曲率假设下证明了渐近双曲流形的一个刚性定理。它的证明是基于分析这种流形在无穷远处的渐近结构和体积比较定理。
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.