Rigidity of asymptotically hyperbolic manifolds

Yuguang Shi; Gang Tian

doi:10.1007/s00220-005-1370-1

Rigidity of asymptotically hyperbolic manifolds

Yuguang Shi, Gang Tian

Mathematics

Research output: Contribution to journal › Article › peer-review

22 Scopus citations

Abstract

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.

Original language	English (US)
Pages (from-to)	545-559
Number of pages	15
Journal	Communications In Mathematical Physics
Volume	259
Issue number	3
DOIs	https://doi.org/10.1007/s00220-005-1370-1
State	Published - Nov 2005

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/s00220-005-1370-1

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title = "Rigidity of asymptotically hyperbolic manifolds",

abstract = "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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Rigidity of asymptotically hyperbolic manifolds

Abstract

All Science Journal Classification (ASJC) codes

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