{
  "id": "1405.1545",
  "version": "v2",
  "published": "2014-05-07T09:31:06.000Z",
  "updated": "2014-05-11T09:09:53.000Z",
  "title": "Angle structures and hyperbolic $3$-manifolds with totally geodesic boundary",
  "authors": [
    "Faze Zhang",
    "Ruifeng Qiu",
    "Tian Yang"
  ],
  "comment": "11 pages, 4 figures, some references are added",
  "categories": [
    "math.GT"
  ],
  "abstract": "This notes explores angle structures on ideally triangulated compact $3$-manifolds with high genus boundary. We show that the existence of angle structures implies the existence of a hyperbolic metric with totally geodesic boundary, and conversely each hyperbolic $3$-manifold with totally geodesic boundary has an ideal triangulation that admits angle structures.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-05-11T09:09:53.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M50"
    ],
    "keywords": [
      "totally geodesic boundary",
      "angle structures implies",
      "admits angle structures",
      "high genus boundary",
      "hyperbolic metric"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1405.1545Z"
    }
  }
}