The Minkowski inequality in de Sitter space
Differential Geometry
2022-03-01 v1 Analysis of PDEs
Abstract
The classical Minkowski inequality in the Euclidean space provides a lower bound on the total mean curvature of a hypersurface in terms of the surface area, which is optimal on round spheres. In this paper we employ a locally constrained inverse mean curvature flow to prove a properly defined analogue in the Lorentzian de Sitter space.
Cite
@article{arxiv.1909.06837,
title = {The Minkowski inequality in de Sitter space},
author = {Julian Scheuer},
journal= {arXiv preprint arXiv:1909.06837},
year = {2022}
}
Comments
21 pages