{
  "id": "2211.01124",
  "version": "v1",
  "published": "2022-11-02T13:59:44.000Z",
  "updated": "2022-11-02T13:59:44.000Z",
  "title": "On codimension one partially hyperbolic diffeomorphisms",
  "authors": [
    "Xiang Zhang"
  ],
  "comment": "26 pages, 5 figures. Any suggestions and comments are welcome",
  "categories": [
    "math.DS"
  ],
  "abstract": "We show that every codimension one partially hyperbolic diffeomorphism must support on $\\mathbb{T}^{n}$. It is locally uniquely integrable and derived from a linear codimension one Anosov diffeomorphism. Moreover, this system is intrinsically ergodic, and the A. Katok's conjecture about the existence of ergodic measures with intermediate entropies holds for it.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-11-02T13:59:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37C05",
      "37D05"
    ],
    "keywords": [
      "partially hyperbolic diffeomorphism",
      "intermediate entropies holds",
      "linear codimension",
      "anosov diffeomorphism",
      "ergodic measures"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}