{
  "id": "1203.2688",
  "version": "v1",
  "published": "2012-03-13T01:32:18.000Z",
  "updated": "2012-03-13T01:32:18.000Z",
  "title": "Some Type I solutions of Ricci flow with rotational symmetry",
  "authors": [
    "Jian Song"
  ],
  "categories": [
    "math.DG",
    "math.AP"
  ],
  "abstract": "We prove that the Ricci flow on CP^n blown-up at one point starting with any rotationally symmetric Kahler metric must develop Type I singularities. In particular, if the total volume does not go to zero at the singular time, the parabolic blow-up limit of the Type I Ricci flow along the exceptional divisor is a complete non-flat shrinking gradient Kahler-Ricci soliton on a complete Kahler manifold homeomorphic to C^n blown-up at one point.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-03-13T01:32:18.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "ricci flow",
      "rotational symmetry",
      "non-flat shrinking gradient kahler-ricci soliton",
      "complete non-flat shrinking gradient kahler-ricci",
      "complete kahler manifold homeomorphic"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1203.2688S"
    }
  }
}