{
  "id": "1404.7641",
  "version": "v2",
  "published": "2014-04-30T09:11:06.000Z",
  "updated": "2015-09-01T20:10:28.000Z",
  "title": "Infinitely many periodic orbits of exact magnetic flows on surfaces for almost every subcritical energy level",
  "authors": [
    "Alberto Abbondandolo",
    "Leonardo Macarini",
    "Marco Mazzucchelli",
    "Gabriel P. Paternain"
  ],
  "comment": "29 pages. Version 2: minor cosmetic correction in the proof of Proposition 1.1. To appear in Journal of the European Mathematical Society",
  "categories": [
    "math.DS",
    "math.SG"
  ],
  "abstract": "We consider an exact magnetic flow on the tangent bundle of a closed surface. We prove that for almost every energy level $\\kappa$ below the Ma\\~n\\'e critical value of the universal covering there are infinitely many periodic orbits with energy $\\kappa$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-04-30T09:11:06.000Z",
      "comment": "29 pages",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2015-09-01T20:10:28.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37J45",
      "58E05"
    ],
    "keywords": [
      "exact magnetic flow",
      "subcritical energy level",
      "periodic orbits",
      "tangent bundle",
      "closed surface"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 29,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1404.7641A"
    }
  }
}