A Minkowski type inequality in warped cylinders
Differential Geometry
2024-09-17 v3 Analysis of PDEs
Abstract
We prove a Minkowski type inequality for weakly mean convex and star-shaped hypersurfaces in warped cylinders which are asymptotically flat or hyperbolic. In particular, we show that this sharp inequality holds for outward minimizing hypersurfaces in the Schwarzschild manifold or the hyperbolic space using the weak solution of the inverse mean curvature flow.
Keywords
Cite
@article{arxiv.2404.13670,
title = {A Minkowski type inequality in warped cylinders},
author = {Shujing Pan and Bo Yang},
journal= {arXiv preprint arXiv:2404.13670},
year = {2024}
}
Comments
26 pages. All comments are welcome