Some sharp Hodge Laplacian and Steklov eigenvalue estimates for differential forms
Differential Geometry
2016-04-19 v2
Abstract
We give some sharp lower bounds of the first eigenvalue for the Hodge Laplacian acting on differential forms on the boundary of a Riemannian manifold. We also give some sharp estimates for the first nonzero Steklov eigenvalue for differential forms.
Cite
@article{arxiv.1207.3999,
title = {Some sharp Hodge Laplacian and Steklov eigenvalue estimates for differential forms},
author = {Kwok-Kun Kwong},
journal= {arXiv preprint arXiv:1207.3999},
year = {2016}
}
Comments
Largely rewritten. Section 3 removed as some of the results have been improved and recorded in other papers by the author. Only results in Section 4 retained