Fiberwise symmetrizations for variational problems on fibred manifolds
Differential Geometry
2023-12-22 v3
Abstract
We establish a framework for fiberwise symmetrization to find a lower bound of a Dirichlet-type energy functional in a variational problem on a fibred Riemannian manifold, and use it to prove a comparison theorem of the first eigenvalue of the Laplacian on a warped product manifold.
Cite
@article{arxiv.2108.12651,
title = {Fiberwise symmetrizations for variational problems on fibred manifolds},
author = {Chanyoung Sung},
journal= {arXiv preprint arXiv:2108.12651},
year = {2023}
}