{
  "id": "math/0702740",
  "version": "v1",
  "published": "2007-02-25T03:45:03.000Z",
  "updated": "2007-02-25T03:45:03.000Z",
  "title": "Eigenvalues of the Laplacian under the Ricci Flow",
  "authors": [
    "Luca Fabrizio Di Cerbo"
  ],
  "comment": "13 pages",
  "journal": "Rendiconti di Matematica, Serie VII Volume 27, Roma (2007)",
  "categories": [
    "math.DG",
    "math.AP"
  ],
  "abstract": "We derive, under a technical assumption, the first variation formula for the eigenvalues of the Laplacian on a closed manifold evolving by the Ricci flow and give some applications.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-02-25T03:45:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C21",
      "58J50",
      "53C44"
    ],
    "keywords": [
      "ricci flow",
      "eigenvalues",
      "first variation formula",
      "technical assumption"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007math......2740F"
    }
  }
}