On the critical points of the functionals in Kähler geometry
Authors:
Valentino Tosatti
Affiliation:
Department of Mathematics, Harvard University, 1 Oxford St, Cambridge, Massachusetts 02138
Abstract:
We prove that a Kähler metric in the anticanonical class, that is a critical point of the functional and has nonnegative Ricci curvature, is necessarily Kähler-Einstein. This partially answers a question of X.X. Chen.