{
  "id": "1112.3772",
  "version": "v1",
  "published": "2011-12-16T12:06:23.000Z",
  "updated": "2011-12-16T12:06:23.000Z",
  "title": "Quasigeodesic flows and Möbius-like groups",
  "authors": [
    "Steven Frankel"
  ],
  "comment": "22 pages, 5 figures",
  "journal": "J. Diff. Geom. 93 (2013), no. 3, 401-429",
  "categories": [
    "math.GT",
    "math.DS",
    "math.GR"
  ],
  "abstract": "If M is a hyperbolic 3-manifold with a quasigeodesic flow then we show that \\pi_1(M) acts in a natural way on a closed disc by homeomorphisms. Consequently, such a flow either has a closed orbit or the action on the boundary circle is M\\\"obius-like but not conjugate into PSL(2, R). We conjecture that the latter possibility cannot occur.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-12-16T12:06:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57R30",
      "57M60",
      "37C10",
      "37D40",
      "37C85",
      "57M50",
      "37B45",
      "53C23"
    ],
    "keywords": [
      "quasigeodesic flow",
      "möbius-like groups",
      "natural way",
      "boundary circle",
      "closed disc"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1112.3772F"
    }
  }
}