{
  "id": "math/0508024",
  "version": "v4",
  "published": "2005-07-31T23:36:28.000Z",
  "updated": "2014-03-11T18:21:51.000Z",
  "title": "Volume preserving codimension one Anosov flows in dimensions greater than three are suspensions",
  "authors": [
    "Slobodan N. Simić"
  ],
  "comment": "This paper has been withdrawn by the author due the fact that Theorem 3.1 is false. We apologize for the tardiness of this withdrawal",
  "categories": [
    "math.DS",
    "math.DG"
  ],
  "abstract": "We show that every volume preserving codimension one Anosov flow on a closed Riemannian manifold of dimension greater than three admits a global cross section and is therefore topologically conjugate to a suspension of a linear toral automorphism. This proves a conjecture of Verjovsky from the 1970's in the volume preserving case.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2014-03-11T18:21:51.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37D20"
    ],
    "keywords": [
      "volume preserving codimension",
      "anosov flow",
      "dimensions greater",
      "suspension",
      "linear toral automorphism"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}