On the Rigidity of Riemannian-Penrose Inequality for Asymptotically Flat 3-manifolds with Corners

Published 21 Aug 2017 in math.DG | (1708.06373v1)

Abstract: In this paper we prove a rigidity result for the equality case of the Penrose inequality on $3$-dimensional asymptotically flat manifolds with nonnegative scalar curvature and corners. Our result also has deep connections with the equality cases of Theorem 1 in \cite{Miao2} and Theorem 1.1 in \cite{LM}.

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