{
  "id": "math/0503225",
  "version": "v1",
  "published": "2005-03-11T17:32:37.000Z",
  "updated": "2005-03-11T17:32:37.000Z",
  "title": "A $C^{r}$ Closing Lemma for a Class of Symplectic Diffeomorphisms",
  "authors": [
    "Zhihong Xia",
    "Hua Zhang"
  ],
  "doi": "10.1088/0951-7715/19/2/015",
  "categories": [
    "math.DS"
  ],
  "abstract": "We prove a $C^r$ closing lemma for a class of partially hyperbolic symplectic diffeomorphisms. We show that for a generic $C^r$ symplectic diffeomorphism, $r =1, 2, ...,$, with two dimensional center and close to a product map, the set of all periodic points is dense.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-03-11T17:32:37.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37J10",
      "37J45"
    ],
    "keywords": [
      "closing lemma",
      "partially hyperbolic symplectic diffeomorphisms",
      "dimensional center",
      "product map",
      "periodic points"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}