{
  "id": "0707.2554",
  "version": "v1",
  "published": "2007-07-17T16:08:01.000Z",
  "updated": "2007-07-17T16:08:01.000Z",
  "title": "On C1-robust transitivity of volume-preserving flows",
  "authors": [
    "M. Bessa",
    "J. Rocha"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "We prove that a divergence-free and C1-robustly transitive vector field has no singularities. Moreover, if the vector field is C4 then the linear Poincare flow associated to it admits a dominated splitting over M.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-07-17T16:08:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37D30",
      "37D25"
    ],
    "keywords": [
      "c1-robust transitivity",
      "volume-preserving flows",
      "c1-robustly transitive vector field",
      "linear poincare flow",
      "singularities"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1016/j.jde.2008.02.045",
      "journal": "Journal of Differential Equations",
      "year": 2008,
      "volume": 245,
      "number": 11,
      "pages": 3127
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008JDE...245.3127B"
    }
  }
}