{
  "id": "1410.8072",
  "version": "v1",
  "published": "2014-10-29T17:48:54.000Z",
  "updated": "2014-10-29T17:48:54.000Z",
  "title": "Integrability of dominated decompositions on three-dimensional manifolds",
  "authors": [
    "Stefano Luzzatto",
    "Sina Tureli",
    "Khadim War"
  ],
  "comment": "16 pages",
  "categories": [
    "math.DS"
  ],
  "abstract": "We prove that, under some mild transverse regularity assumptions,dominated distributions on three-dimensional manifolds are integrable. We also give conditions for unique integrability and as an immediate corollary we get that every partially hyperbolic C^{2} diffeomorphism on a three-dimensional manifold whose tangent bundle decomposition satisfies a weak regularity condition is dynamically coherent.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-10-29T17:48:54.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "three-dimensional manifold",
      "dominated decompositions",
      "mild transverse regularity assumptions",
      "tangent bundle decomposition satisfies",
      "weak regularity condition"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1410.8072L"
    }
  }
}