2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/162006We prove that a Kahler metric in the anticanonical class which is a critical point of the functional E_k and has nonnegative Ricci curvature, is necessarily Kahler-Einstein. This partially answers a question of X.X.Chen.4 pages; minor changes; final version to appear in Proc. AMSDifferential Geometry32Q20; 58E11text