{
  "id": "1808.00781",
  "version": "v1",
  "published": "2018-08-02T12:38:19.000Z",
  "updated": "2018-08-02T12:38:19.000Z",
  "title": "Non-hyperbolic behavior of geodesic flows of rank 1 surfaces",
  "authors": [
    "Katrin Gelfert"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "We prove that for the geodesic flow of a rank 1 Riemannian surface which is expansive but not Anosov the Hausdorff dimension of the set of vectors with only zero Lyapunov exponents is large.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-08-02T12:38:19.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53D25",
      "37D40",
      "37D25",
      "37D35",
      "37C45"
    ],
    "keywords": [
      "geodesic flow",
      "non-hyperbolic behavior",
      "zero lyapunov exponents",
      "hausdorff dimension",
      "riemannian surface"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}