Ricci Curvature Rigidity for Weakly Asymptotically Hyperbolic Manifolds
classification
🧮 math.DG
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citemanifoldsasymptoticallycurvaturehyperbolicriccirigidityweakly
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A rigidity result for weakly asymptotically hyperbolic manifolds with lower bounds on Ricci curvature is proved without assuming that the manifolds are spin. The argument makes use of a quasi-local mass characterization of Euclidean balls from \cite{Miao} \cite{S_T} and eigenfunction compactification ideas from \cite{Qing}.
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