{
  "id": "2008.02249",
  "version": "v1",
  "published": "2020-08-05T17:27:02.000Z",
  "updated": "2020-08-05T17:27:02.000Z",
  "title": "Closed geodesics on surfaces without conjugate points",
  "authors": [
    "Vaughn Climenhaga",
    "Gerhard Knieper",
    "Khadim War"
  ],
  "comment": "33 pages, 2 figures",
  "categories": [
    "math.DS",
    "math.DG"
  ],
  "abstract": "We obtain Margulis-type asymptotic estimates for the number of free homotopy classes of closed geodesics on certain manifolds without conjugate points. Our results cover all compact surfaces of genus at least 2 without conjugate points.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-08-05T17:27:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37C35",
      "37D40",
      "53C22"
    ],
    "keywords": [
      "conjugate points",
      "closed geodesics",
      "margulis-type asymptotic estimates",
      "free homotopy classes",
      "compact surfaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 33,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}