On the Critical Points of the E_k Functionals in Kahler Geometry
arXiv:math/0506021 · doi:10.1090/S0002-9939-07-08962-9
Abstract
We 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. AMS