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

Published 28 Oct 2010 in math.DG and math.SP | (1010.5853v2)

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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