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On the Critical Points of the E_k Functionals in Kahler Geometry

Valentino Tosatti
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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.

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Valentino Tosatti. 2006-10-02. On the Critical Points of the E_k Functionals in Kahler Geometry. https://doi.org/10.1090/s0002-9939-07-08962-9

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