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

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

2004-06-07

arxiv.org/abs/math/0406120v4

Mathematics

Differential Geometry

16 pages, title changed

Scientific paper

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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