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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/71463We 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 changedDifferential GeometryAnalysis of PDEsPrimary 58J50, 35P15; Secondary 53C21A Lower Bound of the First Dirichlet Eigenvalue of a Compact Manifold with Positive Ricci Curvaturetext