2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/125154In this paper, we prove that the Kahler Ricci flow converges to a Kahler Einstein metric when E_1 energy is small. We also prove that E_1 is bounded from below if and only if the K energy is bounded from below in the canonical class.39 pages, minor changes. to appear in GAFADifferential Geometrytext