On the Critical Points of the E_k Functionals in Kahler Geometry

Valentino Tosatti

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On the Critical Points of the E_k Functionals in Kahler Geometry

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arxiv math/0506021 v2 pith:24YWJUKU submitted 2005-06-01 math.DG

On the Critical Points of the E_k Functionals in Kahler Geometry

Valentino Tosatti This is my paper

classification math.DG

keywords criticalkahleranswersanticanonicalchenclasscurvaturefunctional

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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.

On the Critical Points of the E_k Functionals in Kahler Geometry

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