Lower bounds of the eigenvalues of compact manifolds with positive Ricci curvature Lower bounds of the eigenvalues of compact manifolds with positive Ricci curvature

摘要

We give new estimates on the lower bounds for the first closed and Neumann eigenvalues for compact manifolds with positive Ricci curvature in terms of the diameter and the lower bound of Ricci curvature. The results sharpen the previous estimates.