{
  "id": "math/0611787",
  "version": "v1",
  "published": "2006-11-25T21:15:47.000Z",
  "updated": "2006-11-25T21:15:47.000Z",
  "title": "Partial hyperbolicity and ergodicity in dimension three",
  "authors": [
    "F. Rodriguez Hertz",
    "M. A. Rodriguez Hertz",
    "R. Ures"
  ],
  "comment": "14 pages",
  "categories": [
    "math.DS"
  ],
  "abstract": "In [15] the authors proved the Pugh-Shub conjecture for partially hyperbolic diffeomorphisms with 1-dimensional center, i.e. stable ergodic diffeomorphism are dense among the partially hyperbolic ones. In this work we address the issue of giving a more accurate description of this abundance of ergodicity. In particular, we give the first examples of manifolds in which all conservative partially hyperbolic diffeomorphisms are ergodic.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-11-25T21:15:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37D30",
      "37A25"
    ],
    "keywords": [
      "partial hyperbolicity",
      "ergodicity",
      "first examples",
      "accurate description",
      "pugh-shub conjecture"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math.....11787R"
    }
  }
}