{
  "id": "math/0506021",
  "version": "v2",
  "published": "2005-06-01T16:18:59.000Z",
  "updated": "2006-10-02T18:27:06.000Z",
  "title": "On the Critical Points of the E_k Functionals in Kahler Geometry",
  "authors": [
    "Valentino Tosatti"
  ],
  "comment": "4 pages; minor changes; final version to appear in Proc. AMS",
  "journal": "Proc. Amer. Math. Soc. 135 (2007), no.12, 3985--3988.",
  "doi": "10.1090/S0002-9939-07-08962-9",
  "categories": [
    "math.DG"
  ],
  "abstract": "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.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2006-10-02T18:27:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "32Q20",
      "58E11"
    ],
    "keywords": [
      "critical point",
      "kahler geometry",
      "functional",
      "kahler metric",
      "nonnegative ricci curvature"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "AMS",
      "journal": "Proc. Amer. Math. Soc."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......6021T"
    }
  }
}