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arXiv · 2108.12651

Fiberwise symmetrizations for variational problems on fibred manifolds

Chanyoung Sung
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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.

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Chanyoung Sung. 2021-08-28. Fiberwise symmetrizations for variational problems on fibred manifolds. https://arxiv.org/abs/2108.12651

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