{
  "id": "1412.7920",
  "version": "v1",
  "published": "2014-12-26T09:45:51.000Z",
  "updated": "2014-12-26T09:45:51.000Z",
  "title": "Explosion of differentiability for equivalencies between Anosov flows on 3-manifolds",
  "authors": [
    "Mario Bessa",
    "Sergio Dias",
    "Alberto A. Pinto"
  ],
  "comment": "8 pages, 2 figures",
  "categories": [
    "math.DS"
  ],
  "abstract": "For Anosov flows obtained by suspensions of Anosov diffeomorphisms on surfaces, we show the following type of rigidity result: if a topological conjugacy between them is differentiable at a point, then the conjugacy has a smooth extension to the suspended 3-manifold. These result generalize the similar ones of Sullivan and Ferreira-Pinto for 1-dimensional expanding dynamics and also a result of Ferreira-Pinto for 2-dimensional hyperbolic dynamics.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-12-26T09:45:51.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37D20",
      "37C15",
      "37D10"
    ],
    "keywords": [
      "anosov flows",
      "equivalencies",
      "differentiability",
      "anosov diffeomorphisms",
      "hyperbolic dynamics"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1412.7920B"
    }
  }
}