Geometric inequalities for convex spacelike hypersurface in de Sitter space
Differential Geometry
2025-12-30 v2
Abstract
In this paper, the long-time existence and convergence results are derived for locally constrained flows with initial value some compact spacelike hypersurface that is suitably pinched in the de Sitter space. As applications, geometric inequalities related to the quermassintegrals as well as the weighted curvature integrals are established.
Keywords
Cite
@article{arxiv.2509.22470,
title = {Geometric inequalities for convex spacelike hypersurface in de Sitter space},
author = {Yandi Dong and Kuicheng Ma},
journal= {arXiv preprint arXiv:2509.22470},
year = {2025}
}
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15 pages