{
  "id": "0812.1849",
  "version": "v3",
  "published": "2008-12-10T06:18:52.000Z",
  "updated": "2008-12-19T03:10:42.000Z",
  "title": "Time-dependent Sobolev inequality along the Ricci flow",
  "authors": [
    "Chengjie Yu"
  ],
  "comment": "Proof of Theorem 2.2 is added, a serious mistake in the proof of Theorem 2.3 is corrected",
  "categories": [
    "math.DG",
    "math.AP"
  ],
  "abstract": "In this article we get a time-dependent Sobolev inequality along the Ricci flow which generalizes the earlier results of Zhang, Ye, Hsu. As an application of the time-dependent Sobolev inequality, we also get a growth of the ratio of bob-collapsing along the Ricci flow.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2008-12-19T03:10:42.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "time-dependent sobolev inequality",
      "ricci flow",
      "earlier results",
      "application"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0812.1849Y"
    }
  }
}