{
  "id": "0901.2387",
  "version": "v3",
  "published": "2009-01-16T02:48:28.000Z",
  "updated": "2015-12-05T11:11:23.000Z",
  "title": "Ricci flow on surfaces with conical singularities",
  "authors": [
    "Hao Yin"
  ],
  "comment": "There is no revision to the paper, just this comment. Recently I found a gap in the proof of Theorem 1.1. Please see Remark 1.2 of arXiv:1305.4355 for details",
  "journal": "Journal of Geometry and Analysis, Vol 20 (2010) 970-995",
  "categories": [
    "math.DG"
  ],
  "abstract": "This paper studies the normalized Ricci flow on surfaces with conical singularities. It's proved that the normalized Ricci flow has a solution for a short time for initial metrics with conical singularities. Moreover, the solution makes good geometric sense. For some simple surfaces of this kind, for example, the tear drop and the football, it's shown that they admit Ricci soliton metric.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-02-12T12:32:50.000Z",
      "comment": "Acknowledgment added. No modification to the proof",
      "journal": null,
      "doi": null
    },
    {
      "version": "v3",
      "updated": "2015-12-05T11:11:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C21"
    ],
    "keywords": [
      "conical singularities",
      "normalized ricci flow",
      "admit ricci soliton metric",
      "short time",
      "initial metrics"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}