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arXiv · 1010.5853

A note on lower bounds estimates for the Neumann eigenvalues of manifolds with positive Ricci curvature

Fabrice Baudoin·Alice Vatamanelu
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Abstract

We study new heat kernel estimates for the Neumann heat kernel on a compact manifold with positive Ricci curvature and convex boundary. As a consequence, we obtain new lower bounds for the Neumann eigenvalues which are consistent with Weyl's asymptotics.

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Fabrice Baudoin, Alice Vatamanelu. 2010-10-28. A note on lower bounds estimates for the Neumann eigenvalues of manifolds with positive Ricci curvature. https://arxiv.org/abs/1010.5853

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