{
  "id": "0906.2472",
  "version": "v1",
  "published": "2009-06-13T12:21:43.000Z",
  "updated": "2009-06-13T12:21:43.000Z",
  "title": "Local rigidity of hyperbolic manifolds with geodesic boundary",
  "authors": [
    "Steven P. Kerckhoff",
    "Peter A. Storm"
  ],
  "comment": "30 pages",
  "doi": "10.1112/jtopol/jts018",
  "categories": [
    "math.GT",
    "math.DG"
  ],
  "abstract": "Let W be a compact hyperbolic n-manifold with totally geodesic boundary. We prove that if n>3 then the holonomy representation of pi_1 (W) into the isometry group of hyperbolic n-space is infinitesimally rigid.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-06-13T12:21:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20H10",
      "22E40"
    ],
    "keywords": [
      "hyperbolic manifolds",
      "local rigidity",
      "compact hyperbolic n-manifold",
      "hyperbolic n-space",
      "totally geodesic boundary"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 30,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0906.2472K"
    }
  }
}