{
  "id": "1303.3056",
  "version": "v1",
  "published": "2013-03-12T23:26:03.000Z",
  "updated": "2013-03-12T23:26:03.000Z",
  "title": "On the convergence of the Calabi flow",
  "authors": [
    "Weiyong He"
  ],
  "categories": [
    "math.DG"
  ],
  "abstract": "Suppose there is a constant scalar curvature metric on a compact Kahler manifold without holomorphic vector field. We prove that the Calabi flow, if it is assumed to exist for all time with bounded Ricci curvature, will converge to the constant scalar curvature metric.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-03-12T23:26:03.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "calabi flow",
      "constant scalar curvature metric",
      "convergence",
      "compact kahler manifold",
      "holomorphic vector field"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1303.3056H"
    }
  }
}