{
  "id": "0712.0832",
  "version": "v2",
  "published": "2007-12-05T21:49:26.000Z",
  "updated": "2007-12-07T20:57:37.000Z",
  "title": "First variation of the Log Entropy functional along the Ricci flow",
  "authors": [
    "Junfang Li"
  ],
  "comment": "4 pages. One remark improved",
  "categories": [
    "math.DG",
    "math.AP"
  ],
  "abstract": "In this note, we establish the first variation formula of the adjusted log entropy functional $\\mathcal Y_a$ introduced by Ye in \\cite{Y2}. As a direct consequence, we also obtain the monotonicity of $\\mathcal Y_a$ along the Ricci flow.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2007-12-07T20:57:37.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C20",
      "53C21"
    ],
    "keywords": [
      "ricci flow",
      "first variation formula",
      "adjusted log entropy functional",
      "direct consequence",
      "monotonicity"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0712.0832L"
    }
  }
}