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...
Main Authors: | , |
---|---|
Format: | Journal article |
Language: | English |
Published: |
London Mathematical Society
2022
|