Weighted isoperimetric inequalities in warped product manifolds
Differential Geometry
2017-08-23 v1
Abstract
We prove some isoperimetric type inequalities in warped product manifolds, or more generally, multiply warped product manifolds. We then relate them to inequalities involving the higher order mean-curvature integrals. We also apply our results to obtain sharp eigenvalue estimates and some sharp geometric inequalities in space forms.
Keywords
Cite
@article{arxiv.1708.06682,
title = {Weighted isoperimetric inequalities in warped product manifolds},
author = {Kwok-Kun Kwong},
journal= {arXiv preprint arXiv:1708.06682},
year = {2017}
}
Comments
26 pages