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

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

2004-06-22

arxiv.org/abs/math/0406437v2

Mathematics

Differential Geometry

Scientific paper

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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