{
  "id": "1501.04239",
  "version": "v1",
  "published": "2015-01-17T22:39:41.000Z",
  "updated": "2015-01-17T22:39:41.000Z",
  "title": "On the Kahler Ricci flow on projective manifolds of general type",
  "authors": [
    "Bin Guo"
  ],
  "categories": [
    "math.DG"
  ],
  "abstract": "We consider the K\\\"ahler Ricci flow on a smooth minimal model of general type, we show that if the Ricci curvature is uniformly bounded below along the K\\\"ahler-Ricci flow, then the diameter is uniformly bounded. As a corollary we show that under the Ricci curvature lower bound assumption, the Gromov-Hausdorff limit of the flow is homeomorphic to the canonical model. Moreover, we can give a purely analytic proof of a recent result of Tosatti-Zhang (\\cite{TZ}) that if the canonical line bundle $K_X$ is big and nef, but not ample, then the flow is of Type IIb.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-01-17T22:39:41.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "kahler ricci flow",
      "general type",
      "projective manifolds",
      "ricci curvature lower bound assumption",
      "smooth minimal model"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150104239G"
    }
  }
}