Rigidity of Asymptotically Hyperboblic Manifolds
classification
🧮 math.DG
keywords
manifoldsasymptoticallyrigiditytheoremanalyzingassumptionsasymptoticcomparison
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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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