{
  "id": "math/0503188",
  "version": "v1",
  "published": "2005-03-10T07:56:47.000Z",
  "updated": "2005-03-10T07:56:47.000Z",
  "title": "Smooth rigidity of uniformly quasiconformal Anosov flows",
  "authors": [
    "Yong Fang"
  ],
  "comment": "Our results generalise to higher dimensions the classification of E.Ghys of holomorphic Anosov diffeomorphisms of complex surfaces",
  "journal": "Ergodic Theory and Dynamical Systems 24 (2004) 1937-1959",
  "categories": [
    "math.DS"
  ],
  "abstract": "We classify quasiconformal Anosov flows whose strong stable and unstable distributions are at least two dimensional and the sum of these two distributions is smooth. We deduce from this classification result the complete classification of volume-preserving quasiconformal diffeomorphisms whose stable and unstable distributions are at least two dimensional. Our central idea is to take a good time change so that perodic orbits are equi-distributed with respect to a lebesgue measure.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-03-10T07:56:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37D20",
      "37D35",
      "37D40",
      "53C05",
      "53C24"
    ],
    "keywords": [
      "uniformly quasiconformal anosov flows",
      "smooth rigidity",
      "classify quasiconformal anosov flows",
      "unstable distributions",
      "perodic orbits"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......3188F"
    }
  }
}