{
  "id": "0807.2367",
  "version": "v2",
  "published": "2008-07-15T13:20:09.000Z",
  "updated": "2008-07-29T12:58:51.000Z",
  "title": "Transitivity of codimension one Anosov actions of R^k on closed manifolds",
  "authors": [
    "Thierry Barbot",
    "Carlos Maquera"
  ],
  "comment": "Some ambiguity about the \"codimension one' property has been removed",
  "journal": "Ergodic Theory and Dynamical Systems 31, 1 (2011) 1-22",
  "categories": [
    "math.DS"
  ],
  "abstract": "In this paper, we define codimension one Anosov actions of $\\RR^k, k\\geq 2,$ on a closed connected orientable manifold $M$. We prove that if the ambient manifold has dimension greater than $k+2$, then the action is topologically transitive. This generalizes a result of Verjovsky for codimension one Anosov flows.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-07-29T12:58:51.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37C85"
    ],
    "keywords": [
      "anosov actions",
      "closed manifolds",
      "transitivity",
      "ambient manifold",
      "define codimension"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0807.2367B"
    }
  }
}