A Note on Lower Bounds Estimates for the Neumann Eigenvalues of Manifolds with Positive Ricci Curvature |
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Authors: | Fabrice Baudoin Alice Vatamanelu |
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Affiliation: | 1. Department of Mathematics, Purdue University, West Lafayette, IN, 47907, USA
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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 lower bounds for the Neumann eigenvalues which are consistent with Weyl??s asymptotics. |
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