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

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

2010-10-28

arxiv.org/abs/1010.5853v2

Mathematics

Differential Geometry

Scientific paper

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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