{
  "id": "0809.4862",
  "version": "v2",
  "published": "2008-09-29T19:34:27.000Z",
  "updated": "2008-09-29T20:09:49.000Z",
  "title": "The cohomological equation for partially hyperbolic diffeomorphisms",
  "authors": [
    "Amie Wilkinson"
  ],
  "comment": "94 pages, 8 figures",
  "categories": [
    "math.DS",
    "math.GT"
  ],
  "abstract": "We establish a theory for the existence and regularity of solutions to the cohomological equation over an accessible, partially hyperbolic diffeomorphism. As a by-product of our techniques, we show that for $r>1$, any $C^r$ homogeneous, locally compact submanifold of a $C^r$ manifold is in fact a $C^r$ submanifold.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-09-29T20:09:49.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37C15",
      "37D30"
    ],
    "keywords": [
      "partially hyperbolic diffeomorphism",
      "cohomological equation",
      "locally compact submanifold",
      "by-product",
      "techniques"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 94,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0809.4862W"
    }
  }
}