{
  "id": "0708.2008",
  "version": "v3",
  "published": "2007-08-15T08:57:36.000Z",
  "updated": "2007-12-07T13:36:15.000Z",
  "title": "The Log Entropy Functional Along the Ricci Flow",
  "authors": [
    "Rugang Ye"
  ],
  "comment": "A typo in the monotonicity inequality for the log entropy functional is corrected. Namely the factor 1/(16 \\omega) should be (4 \\omega)/n. (From the given computations it is obvious that this number should be (4\\omega)/n.)",
  "categories": [
    "math.DG"
  ],
  "abstract": "In this paper we introduce the log entropy functional and establish its monotonicity along the Ricci flow. One consequence of it is the monotonicity of the logarithmic Sobolev constant along the Ricci flow.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2007-12-07T13:36:15.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C20",
      "53C21"
    ],
    "keywords": [
      "log entropy functional",
      "ricci flow",
      "logarithmic sobolev constant",
      "monotonicity"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0708.2008Y"
    }
  }
}