2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/65703We proved a matrix Li-Yau-Hamilton type gradient estimates for the positive solutin of the heat equation on complete Kaehler manifolds with nonnegative bisectional curvature. As a consequence we obtain a comparison theorem for the distance function under this curvature assumption.Differential GeometryAnalysis of PDEs58G11Matrix Li-Yau-Hamilton estimates for the heat equation on Kaehler manifoldstext