2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/66113We prove a Liouville theorem for the plurisubharmonic functions on complete Kaelher manifolds. As the applications, we prove a splitting theorem for complete Kaehler manifolds with nonnegative biscetional curvature in terms of the linear growth harmonic functions and a optomal gap theorem for such manifolds.Differential GeometryAnalysis of PDEs58G11Liouville properties of plurisubharmonic functionstext