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arXiv · 1207.3999

Some sharp Hodge Laplacian and Steklov eigenvalue estimates for differential forms

Kwok-Kun Kwong
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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.

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Kwok-Kun Kwong. 2012-07-17. Some sharp Hodge Laplacian and Steklov eigenvalue estimates for differential forms. https://arxiv.org/abs/1207.3999

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