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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 $ E_k$ and has nonnegative Ricci curvature, is necessarily Kähler-Einstein. This partially answers a question of X.X. Chen.

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