On the critical points of the E k functionals in Kähler geometry

Valentino Tosatti

doi:10.1090/S0002-9939-07-08962-9

On the critical points of the E _k functionals in Kähler geometry

Valentino Tosatti

Mathematics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English (US)
Pages (from-to)	3985-3988
Number of pages	4
Journal	Proceedings of the American Mathematical Society
Volume	135
Issue number	12
DOIs	https://doi.org/10.1090/S0002-9939-07-08962-9
State	Published - Dec 2007

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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abstract = "We prove that a K{\"a}hler metric in the anticanonical class, that is a critical point of the functional E k and has nonnegative Ricci curvature, is necessarily K{\"a}hler-Einstein. This partially answers a question of X.X. Chen.",

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On the critical points of the E _k functionals in Kähler geometry

Abstract

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