{
  "id": "1411.6857",
  "version": "v1",
  "published": "2014-11-25T13:27:04.000Z",
  "updated": "2014-11-25T13:27:04.000Z",
  "title": "Coding of geodesics and Lorenz-like templates for some geodesic flows",
  "authors": [
    "Pierre Dehornoy",
    "Tali Pinsky"
  ],
  "comment": "21 pages",
  "categories": [
    "math.GT",
    "math.DS"
  ],
  "abstract": "We construct a template with two ribbons that describes the topology of all periodic orbits of the geodesic flow on the unit tangent bundle to any sphere with three cone points with hyperbolic metric. The construction relies on the existence of a particular coding with two letters for the geodesics on these orbifolds.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-11-25T13:27:04.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "geodesic flow",
      "lorenz-like templates",
      "unit tangent bundle",
      "construction relies",
      "periodic orbits"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1411.6857D"
    }
  }
}