{
  "id": "1005.3134",
  "version": "v1",
  "published": "2010-05-18T09:53:16.000Z",
  "updated": "2010-05-18T09:53:16.000Z",
  "title": "A certain minimization property implies a certain integrability",
  "authors": [
    "Marie-Claude Arnaud"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "The manifold M being compact and connected and H being a Tonelli Hamiltonian such that the cotangent bundle of M is equal to the dual tiered Mane set, we prove that there is a partition of the cotangent bundle of M into invariant C0 Lagrangian graphs. Moreover, among these graphs, those that are C1 cover a residual subset of this cotangent bundle The dynamic restricted to each of these sets is non wandering.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-05-18T09:53:16.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "minimization property implies",
      "cotangent bundle",
      "integrability",
      "invariant c0 lagrangian graphs",
      "dual tiered mane set"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1016/j.jde.2010.12.002",
      "journal": "Journal of Differential Equations",
      "year": 2011,
      "month": "Mar",
      "volume": 250,
      "number": 5,
      "pages": 2389
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011JDE...250.2389A"
    }
  }
}