{
  "id": "1606.03132",
  "version": "v1",
  "published": "2016-06-09T22:00:34.000Z",
  "updated": "2016-06-09T22:00:34.000Z",
  "title": "The $C^0$ integrability of symplectic twist maps without conjugate points",
  "authors": [
    "Marc Arcostanzo"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "We prove that symplectic twist maps defined on the cotangent bundle of the d-dimensional torus that have no conjugate points are $C^0$ integrable, i.e. the cotangent bundle is continuously foliated by a family of invariant Lagrangian graphs.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-06-09T22:00:34.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "symplectic twist maps",
      "conjugate points",
      "cotangent bundle",
      "integrability",
      "invariant lagrangian graphs"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}