Monotone quantities involving a weighted $\sigma_k$ integral along inverse curvature flows
Differential Geometry
2014-02-05 v1
Abstract
We give a family of monotone quantities along smooth solutions to the inverse curvature flows in Euclidean spaces. We also derive a related geometric inequality for closed hypersurfaces with positive k-th mean curvature.
Keywords
Cite
@article{arxiv.1402.0843,
title = {Monotone quantities involving a weighted $\sigma_k$ integral along inverse curvature flows},
author = {Kwok-Kun Kwong and Pengzi Miao},
journal= {arXiv preprint arXiv:1402.0843},
year = {2014}
}
Comments
11 pages