Mass-Capacity Inequalities for Conformally Flat Manifolds with Boundary |
| |
| Authors: | Alexandre Freire Fernando Schwartz |
| |
| Institution: | 1. Department of Mathematics , University of Tennessee , Knoxville , Tennessee , USA freire@math.utk.edu;3. Department of Mathematics , University of Tennessee , Knoxville , Tennessee , USA |
| |
| Abstract: | In this paper we prove a mass-capacity inequality and a volumetric Penrose inequality for conformally flat manifolds, in arbitrary dimensions. As a by-product of the proofs, capacity and Aleksandrov-Fenchel inequalities for mean-convex Euclidean domains are obtained. For each inequality, the case of equality is characterized. |
| |
| Keywords: | Aleksandrov-Fenchel inequality Inverse mean curvature flow Reimannian penrose inequality |
|
|
