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Rigidity of Asymptotically Hyperbolic Manifolds

Authors:	Yuguang?Shi,Gang?Tian author-information" > author-information__contact u-icon-before" > mailto:tian@math.mit.edu" title=" tian@math.mit.edu" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author

Affiliation:	(1) Key Laboratory of Pure and Applied Mathematics, School of Mathematics Science, Peking University, Beijing, 100871, P.R. China;(2) Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA 02139, USA;(3) Department of Mathematics, Princeton University, Princeton, NJ 08544, USA

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.The first author’s research is partially supported by NSF grant of China.The second author’s research is partially supported by an NSF grant and a Simon fund.

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