2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/65650We prove a linear trace Li-Yau-Hamilton inequality for the Kaehler-Ricci flow. We then use this sharp differential inequality to study the Liouville properties of the plurisubharmonic functions on complete Kaehler manifolds with nonnegative bisectional curvature.Differential Geometry58G11text