On the Critical Points of the E_k Functionals in Kahler Geometry
Differential Geometry
2008-06-02 v2
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.
Keywords
Cite
@article{arxiv.math/0506021,
title = {On the Critical Points of the E_k Functionals in Kahler Geometry},
author = {Valentino Tosatti},
journal= {arXiv preprint arXiv:math/0506021},
year = {2008}
}
Comments
4 pages; minor changes; final version to appear in Proc. AMS