Some rigidity results for the Hawking mass and a lower bound for the Bartnik capacity

We prove rigidity results involving the Hawking mass for surfaces immersed in a 3-dimensional, complete Riemannian manifold $(M,g)$ with non-negative scalar curvature (respectively, with scalar curvature bounded below by $-6$ ). Roughly, the main result states that if an open subset $\Omega \subset...

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Bibliographic Details
Main Authors: Mondino, A, Templeton-Browne, A
Format: Journal article
Language:English
Published: London Mathematical Society 2022