## 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) |
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Pages (from-to) | 3985-3988 |

Number of pages | 4 |

Journal | Proceedings of the American Mathematical Society |

Volume | 135 |

Issue number | 12 |

DOIs | |

State | Published - Dec 2007 |

## ASJC Scopus subject areas

- Mathematics(all)
- Applied Mathematics

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