Title
Weighted isoperimetric inequalities in warped product manifolds
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