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A Lower Bound of the First Dirichlet Eigenvalue of a Compact Manifold with Positive Ricci Curvature

Jun Ling
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Abstract

We give a new estimate on the lower bound for the first Dirichlet eigenvalue for a compact manifold with positive Ricci curvature in terms of the in-diameter and the lower bound of the Ricci curvature. The result improves the previous estimates.

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Jun Ling. 2004-12-08. A Lower Bound of the First Dirichlet Eigenvalue of a Compact Manifold with Positive Ricci Curvature. https://arxiv.org/abs/math/0406120

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