{
  "id": "math/0312419",
  "version": "v1",
  "published": "2003-12-22T23:16:25.000Z",
  "updated": "2003-12-22T23:16:25.000Z",
  "title": "Asymptotic flatness of the Weil-Petersson metric on Teichmuller space",
  "authors": [
    "Zheng Huang"
  ],
  "comment": "26 pages, to appear on Geometriae Dedicata",
  "categories": [
    "math.DG",
    "math.CV"
  ],
  "abstract": "The sectional curvature of the Weil-Petersson metric on Teichmuller space is known to be negative. We show that this Weil-Petersson sectional curvature is not pinched from above by any negative constants, i.e., there is no negative upper bound.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-12-22T23:16:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "32G15",
      "53C21",
      "30F60"
    ],
    "keywords": [
      "weil-petersson metric",
      "teichmuller space",
      "asymptotic flatness",
      "weil-petersson sectional curvature",
      "negative upper bound"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math.....12419H"
    }
  }
}