2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/72592The purpose of this paper is to establish a partial regularity theory on certain homogeneous complex Monge-Ampere equations. As consequences of this new theory, we prove the uniqueness of extremal Kaehler metrics and give an necessary condition for existence of extremal Kaehler metrics.10 pagesDifferential Geometrytext