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

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.

16 pages, title changed