On the Rigidity of Riemannian-Penrose Inequality for Asymptotically Flat 3-manifolds with Corners
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 Miao2 and Theorem 1.1 in LM.
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