{
  "id": "0908.1488",
  "version": "v1",
  "published": "2009-08-11T09:33:15.000Z",
  "updated": "2009-08-11T09:33:15.000Z",
  "title": "Stability on Kähler-Ricci flow, I",
  "authors": [
    "Xiaohua Zhu"
  ],
  "comment": "27 pages",
  "categories": [
    "math.DG",
    "math.AP"
  ],
  "abstract": "In this paper, we prove that K\\\"ahler-Ricci flow converges to a K\\\"ahler-Einstein metric (or a K\\\"ahler-Ricci soliton) in the sense of Cheeger-Gromov as long as an initial K\\\"ahler metric is very closed to $g_{KE}$ (or $g_{KS}$) if a compact K\\\"ahler manifold with $c_1(M)>0$ admits a K\\\"ahler Einstein metric $g_{KE}$ (or a K\\\"ahler-Ricci soliton $g_{KS}$). The result improves Main Theorem in [TZ3] in the sense of stability of K\\\"ahler-Ricci flow.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-08-11T09:33:15.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C55",
      "58E11"
    ],
    "keywords": [
      "kähler-ricci flow",
      "flow converges",
      "einstein metric",
      "main theorem",
      "cheeger-gromov"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 27,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0908.1488Z"
    }
  }
}