2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/140621We study some asymptotic behavior of the first nonzero eigenvalue of the Lalacian along the normalized Ricci flow and give a direct short proof for an asymptotic upper limit estimate.Differential GeometryAnalysis of PDEsPrimary 53C21, 53C44; Secondary 58J35, 35P99Some Asymptotic Behavior of the first Eigenvalue along the Ricci Flowtext