Weighted isoperimetric inequalities in warped product manifolds

Authors

Kwok Kun Kwong, University of Wollongong

Publication Name

Differential Geometry and its Application

Abstract

We prove some sharp isoperimetric type inequalities in warped product manifolds, or more generally, multiply warped product manifolds. We also relate them to inequalities involving the higher order mean-curvature integrals. Applications include some sharp eigenvalue estimates, Pólya-Szegö inequality, Faber-Krahn inequality, Sobolev inequality and some sharp geometric inequalities in some warped product spaces.

Open Access Status

This publication may be available as open access

Volume

89

Article Number

102011

Funding Number

FL150100126

Funding Sponsor

Australian Research Council