{
  "id": "0906.5529",
  "version": "v1",
  "published": "2009-06-30T14:07:14.000Z",
  "updated": "2009-06-30T14:07:14.000Z",
  "title": "On stability of the hyperbolic space form under the normalized Ricci flow",
  "authors": [
    "Haozhao Li",
    "Hao Yin"
  ],
  "comment": "17 pages",
  "categories": [
    "math.DG",
    "math.AP"
  ],
  "abstract": "This paper studies the normalized Ricci flow from a slight perturbation of the hyperbolic metric on $\\mathbb H^n$. It's proved that if the perturbation is small and decays sufficiently fast at the infinity, then the flow will converge exponentially fast to the hyperbolic metric when the dimension $n>5$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-06-30T14:07:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C44"
    ],
    "keywords": [
      "normalized ricci flow",
      "hyperbolic space form",
      "hyperbolic metric",
      "paper studies",
      "slight perturbation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0906.5529L"
    }
  }
}