{
  "id": "1305.1915",
  "version": "v3",
  "published": "2013-05-08T18:55:29.000Z",
  "updated": "2013-10-22T13:53:43.000Z",
  "title": "Dynamical coherence of partially hyperbolic diffeomorphisms of tori isotopic to Anosov",
  "authors": [
    "Todd Fisher",
    "Rafael Potrie",
    "Martín Sambarino"
  ],
  "comment": "31 pages, 1 figure",
  "categories": [
    "math.DS"
  ],
  "abstract": "We show that partially hyperbolic diffeomorphisms of $d$-dimensional tori isotopic to an Anosov diffeomorphism, where the isotopy is contained in the set of partially hyperbolic diffeomorphisms, are dynamically coherent. Moreover, we show a \\textit{global stability result}, i.e. every partially hyperbolic diffeomorphism as above is \\textit{leaf-conjugate} to the linear one. As a consequence, we obtain intrinsic ergodicity and measure equivalence for partially hyperbolic diffeomorphisms with one-dimensional center direction that are isotopic to Anosov diffeomorphisms through such a path.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2013-10-22T13:53:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37C05",
      "37C20",
      "37C25",
      "37C29",
      "37D30"
    ],
    "keywords": [
      "partially hyperbolic diffeomorphism",
      "dynamical coherence",
      "anosov diffeomorphism",
      "dimensional tori isotopic",
      "one-dimensional center direction"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 31,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1305.1915F"
    }
  }
}