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A Lower Bound of The First Eigenvalue of a Closed Manifold with Positive Ricci Curvature

Jun Ling
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Abstract

We give an estimate on the lower bound of the first non-zero eigenvalue of the Laplacian for a closed Riemannian manifold with positive Ricci curvature in terms of the in-diameter and the lower bound of the Ricci curvature.

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Jun Ling. 2004-12-08. A Lower Bound of The First Eigenvalue of a Closed Manifold with Positive Ricci Curvature. https://arxiv.org/abs/math/0406437

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