{
  "id": "1405.4057",
  "version": "v1",
  "published": "2014-05-16T03:26:22.000Z",
  "updated": "2014-05-16T03:26:22.000Z",
  "title": "Stability of closed characteristics on compact convex hypersurfaces in R^{2n}",
  "authors": [
    "Xijun Hu",
    "Yuwei Ou"
  ],
  "comment": "22pages, 3 figures. arXiv admin note: substantial text overlap with arXiv:0812.0041, arXiv:math/0109116 by other authors",
  "categories": [
    "math.DS",
    "math.SG"
  ],
  "abstract": "Let $\\Sigma\\subset \\R^{2n}$ with $n\\geq2$ be any $C^2$ compact convex hypersurface and only has finitely geometrically distinct closed characteristics. Based on Y.Long and C.Zhu 's index jump methods \\cite{LoZ1}, we prove that there are at least two geometrically distinct elliptic closed characteristics, and moreover, there exist at least $\\varrho_{n} (\\Sigma)$ ($\\varrho_{n}(\\Sigma)\\geq[\\frac{n}{2}]+1$) geometrically distinct closed characteristics such that for any two elements among them, the ratio of their mean indices is irrational number.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-05-16T03:26:22.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "58E05",
      "37J45",
      "34C25"
    ],
    "keywords": [
      "compact convex hypersurface",
      "geometrically distinct closed characteristics",
      "index jump methods",
      "geometrically distinct elliptic closed characteristics"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1405.4057H"
    }
  }
}