{
  "id": "1305.2799",
  "version": "v2",
  "published": "2013-05-13T14:58:07.000Z",
  "updated": "2015-12-18T13:23:27.000Z",
  "title": "Linking and closed orbits",
  "authors": [
    "Stefan Suhr",
    "Kai Zehmisch"
  ],
  "comment": "We weakened the assumption to be of bounded geometry",
  "categories": [
    "math.DS",
    "math-ph",
    "math.DG",
    "math.MP",
    "math.SG"
  ],
  "abstract": "We show that the Lagrangian of classical mechanics on a Riemannian manifold of bounded geometry carries a periodic solution of motion with rescribed energy, provided the potential satisfies an asymptotic growth condition, changes sign, and the negative set of the potential is non-trivial in the relative homology.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-05-13T14:58:07.000Z",
      "comment": "are welcome",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2015-12-18T13:23:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "70H12",
      "37J55"
    ],
    "keywords": [
      "closed orbits",
      "asymptotic growth condition",
      "bounded geometry carries",
      "periodic solution",
      "potential satisfies"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1305.2799S"
    }
  }
}