{
  "id": "math/0501108",
  "version": "v2",
  "published": "2005-01-07T22:28:02.000Z",
  "updated": "2005-01-10T22:34:05.000Z",
  "title": "Positivity of Ricci curvature under the Kähler--Ricci flow",
  "authors": [
    "Dan Knopf"
  ],
  "comment": "Added generalization to all complex dimensions n>=2. (9 pages)",
  "categories": [
    "math.DG"
  ],
  "abstract": "For all complex dimensions n>=2, we construct complete Kaehler manifolds of bounded curvature and non-negative Ricci curvature whose Kaehler--Ricci evolutions immediately acquire Ricci curvature of mixed sign.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2005-01-10T22:34:05.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C44"
    ],
    "keywords": [
      "kähler-ricci flow",
      "construct complete kaehler manifolds",
      "positivity",
      "evolutions immediately acquire ricci curvature",
      "kaehler-ricci evolutions immediately acquire ricci"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......1108K"
    }
  }
}