{
  "id": "math/9807189",
  "version": "v1",
  "published": "1998-07-20T00:00:00.000Z",
  "updated": "1998-07-20T00:00:00.000Z",
  "title": "Intersections in hyperbolic manifolds",
  "authors": [
    "Igor Belegradek"
  ],
  "comment": "28 pages. Published copy, also available at http://www.maths.warwick.ac.uk/gt/GTVol2/paper7.abs.html",
  "journal": "Geom. Topol. 2 (1998), 117-144",
  "categories": [
    "math.GT"
  ],
  "abstract": "We obtain some restrictions on the topology of infinite volume hyperbolic manifolds. In particular, for any n and any closed negatively curved manifold M of dimension greater than 2, only finitely many hyperbolic n-manifolds are total spaces of orientable vector bundles over M.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1998-07-20T00:00:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "30F40",
      "53C23",
      "57R20",
      "22E40",
      "32H20",
      "51M10"
    ],
    "keywords": [
      "intersections",
      "infinite volume hyperbolic manifolds",
      "dimension greater",
      "hyperbolic n-manifolds",
      "total spaces"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 28,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}