{
  "id": "math/0409586",
  "version": "v1",
  "published": "2004-09-29T19:10:58.000Z",
  "updated": "2004-09-29T19:10:58.000Z",
  "title": "Rigidity results for certain 3-dimensional singular spaces and their fundamental groups",
  "authors": [
    "J. -F. Lafont"
  ],
  "comment": "26 pages, 3 figures; to appear in Geom. Dedicata",
  "journal": "Geom. Dedicata, 109 (2004), pgs. 197-219.",
  "categories": [
    "math.GR",
    "math.DG",
    "math.MG"
  ],
  "abstract": "In this paper, we introduce a particularly nice family of locally CAT(-1) spaces, which we call hyperbolic P-manifolds. For $X^3$ a simple, thick hyperbolic P-manifold of dimension 3, we show that certain subsets of the boundary at infinity of the universal cover of $X^3$ are characterized topologically. Straightforward consequences include a version of Mostow rigidity, as well as quasi-isometric rigidity for these spaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-09-29T19:10:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F65",
      "20F67"
    ],
    "keywords": [
      "rigidity results",
      "singular spaces",
      "fundamental groups",
      "thick hyperbolic p-manifold",
      "quasi-isometric rigidity"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math......9586L"
    }
  }
}