{
  "id": "math/0406088",
  "version": "v1",
  "published": "2004-06-04T16:57:38.000Z",
  "updated": "2004-06-04T16:57:38.000Z",
  "title": "A classification of hyperbolic manifolds related to the three-dimensional torus",
  "authors": [
    "Akira Ushijima"
  ],
  "comment": "13 pages, 6 figures",
  "categories": [
    "math.GT"
  ],
  "abstract": "L. Paoluzzi constructed a family of compact orientable three-dimensional hyperbolic manifolds with totally geodesic boundary, which were, by construction, closely related to the three-dimensional torus. This paper gives their complete classification up to isometry, and also their isometry groups. The key tool is the so-called canonical decomposition of hyperbolic manifolds.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-06-04T16:57:38.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M50",
      "57M60"
    ],
    "keywords": [
      "three-dimensional torus",
      "compact orientable three-dimensional hyperbolic manifolds",
      "isometry groups",
      "complete classification"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math......6088U"
    }
  }
}