Lower Bounds of the First Closed and Neumann Eigenvalues of Compact Manifolds with Positive Ricci Curvature

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/71559We give new estimates on the lower bounds for the first closed or Neumann eigenvalue for a compact manifold with positive Ricci curvature in terms of the diameter and the lower bound of Ricci curvature. The results improve the previous estimates.enhanced results, 29 pagesDifferential GeometryAnalysis of PDEsPrimary 58J50, 35P15; Secondary 53C21Lower Bounds of the First Closed and Neumann Eigenvalues of Compact Manifolds with Positive Ricci Curvaturetext