{
  "id": "0802.1905",
  "version": "v1",
  "published": "2008-02-13T20:41:45.000Z",
  "updated": "2008-02-13T20:41:45.000Z",
  "title": "Geometrical aspects of integrable systems",
  "authors": [
    "Emanuele Fiorani"
  ],
  "comment": "It will appear on International Journal of Geometric Methods in Modern Physics vol.5 n.3 (May 2008) issue",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "We review some basic theorems on integrability of Hamiltonian systems, namely the Liouville-Arnold theorem on complete integrability, the Nekhoroshev theorem on partial integrability and the Mishchenko-Fomenko theorem on noncommutative integrability, and for each of them we give a version suitable for the noncompact case. We give a possible global version of the previous local results, under certain topological hypotheses on the base space. It turns out that locally affine structures arise naturally in this setting.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-02-13T20:41:45.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "integrable systems",
      "geometrical aspects",
      "locally affine structures arise",
      "hamiltonian systems",
      "liouville-arnold theorem"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1142/S0219887808002886",
      "journal": "International Journal of Geometric Methods in Modern Physics",
      "year": 2008,
      "number": 3,
      "pages": 457
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008IJGMM..05..457F"
    }
  }
}