{
  "id": "2004.06855",
  "version": "v1",
  "published": "2020-04-15T02:00:12.000Z",
  "updated": "2020-04-15T02:00:12.000Z",
  "title": "$C^r$-Closing lemma for partially hyperbolic diffeomorphisms with one-dimensional center bundle",
  "authors": [
    "Shaobo Gan",
    "Yi Shi"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "For every $r\\in\\mathbb{N}_{\\geq2}\\cup\\{\\infty\\}$, we prove the $C^r$-closing lemma for general and conservative partially hyperbolic diffeomorphisms with one-dimensional center bundle.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-04-15T02:00:12.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "one-dimensional center bundle",
      "closing lemma",
      "conservative partially hyperbolic diffeomorphisms"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}