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

Valentino Tosatti

Research output: Contribution to journalArticlepeer-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 languageEnglish (US)
Pages (from-to)3985-3988
Number of pages4
JournalProceedings of the American Mathematical Society
Volume135
Issue number12
DOIs
StatePublished - Dec 2007

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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