Rigidity of Asymptotically Hyperboblic Manifolds

2004/02/23 by Yuguang Shi, Gang Tian · 1 citation
Mathematics · #math.DG #msc:53C21 #msc:53C24

paper · pdf · doi:10.1007/s00220-005-1370-1

16 pages

arxiv created 2004/02/23 · arxiv updated 2009/12/01

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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