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: | Mondino, A, Templeton-Browne, A |
---|---|
Format: | Journal article |
Language: | English |
Published: |
London Mathematical Society
2022
|
Similar Items
-
Measure rigidity of Ricci curvature lower bounds
by: Cavalletti, F, et al.
Published: (2015) -
Personalistic Anthropology of Czeslaw Stanislaw Bartnik
by: Richard Gorban
Published: (2016-08-01) -
Personalistic Ecclesiology of Czeslaw Stanislaw Bartnik
by: Richard Gorban
Published: (2016-12-01) -
Personalistic Christology of Czeslaw Stanislaw Bartnik
by: Richard Gorban
Published: (2017-04-01) -
Sharp and rigid isoperimetric inequalities in metric-measure spaces with lower Ricci curvature bounds
by: Cavalletti, F, et al.
Published: (2016)