A Lower Bound of the First Eigenvalue of a Closed Manifold with Negative Lower Bound of the Ricci Curvature

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/71697Along the line of the Yang Conjecture, we give a new estimate on the lower bound of the first non-zero eigenvalue of a closed Riemannian manifold with negative lower bound of Ricci curvature in terms of the in-diameter and the lower bound of Ricci curvature.Title changedDifferential GeometryAnalysis of PDEsPrimary 58J50, 35P15; Secondary 53C21A Lower Bound of the First Eigenvalue of a Closed Manifold with Negative Lower Bound of the Ricci Curvaturetext