{
  "id": "1905.04145",
  "version": "v1",
  "published": "2019-05-09T17:22:56.000Z",
  "updated": "2019-05-09T17:22:56.000Z",
  "title": "On Geodesic Triangles in Hyperbolic Plane",
  "authors": [
    "Rita Gitik"
  ],
  "categories": [
    "math.GR",
    "math.GT"
  ],
  "abstract": "Let M be an orientable hyperbolic surface without boundary and let $\\gamma$ be a closed geodesic in M. We prove that any side of any triangle formed by distinct lifts of $\\gamma$ in H2 is shorter than $\\gamma$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-05-09T17:22:56.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "51M10",
      "53C22",
      "30F45",
      "20E05"
    ],
    "keywords": [
      "hyperbolic plane",
      "geodesic triangles",
      "orientable hyperbolic surface",
      "distinct lifts"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}