2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/71639We give an estimate on the lower bound of the first non-zero eigenvalue of the Laplacian for a closed Riemannian manifold with positive Ricci curvature in terms of the in-diameter and the lower bound of the Ricci curvature.Differential GeometryAnalysis of PDEsPrimary 58J50, 35P15; Secondary 53C21A Lower Bound of The First Eigenvalue of a Closed Manifold with Positive Ricci Curvaturetext