{
  "id": "math/0109171",
  "version": "v1",
  "published": "2001-09-23T13:06:38.000Z",
  "updated": "2001-09-23T13:06:38.000Z",
  "title": "Multiplicity of closed characteristics on symmetric convex hypersurfaces in $\\R^{2n}$",
  "authors": [
    "Chun-gen Liu",
    "Yiming Long",
    "Chaofeng Zhu"
  ],
  "comment": "16 pages",
  "journal": "Mathematische Annalen, June 2002, Volume 323, Issue 2, pp 201-215",
  "doi": "10.1007/s002089100257",
  "categories": [
    "math.DS",
    "math.SG"
  ],
  "abstract": "Let $\\Sigma$ be a compact $C^2$ hypersurface in $\\R^{2n}$ bounding a convex set with non-empty interior. In this paper it is proved that there always exist at least $n$ geometrically distinct closed characteristics on $\\Sigma$ if $\\Sigma$ is symmetric with respect to the origin.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2001-09-23T13:06:38.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "58F05"
    ],
    "keywords": [
      "symmetric convex hypersurfaces",
      "multiplicity",
      "convex set",
      "geometrically distinct closed characteristics",
      "non-empty interior"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}