{
  "id": "1306.5969",
  "version": "v1",
  "published": "2013-06-25T13:57:06.000Z",
  "updated": "2013-06-25T13:57:06.000Z",
  "title": "On symmetries and conserved quantities in Nambu mechanics",
  "authors": [
    "Marian Fecko"
  ],
  "journal": "J. Math. Phys. 54, 102901 (2013);",
  "doi": "10.1063/1.4824684",
  "categories": [
    "math-ph",
    "math.DG",
    "math.DS",
    "math.MP"
  ],
  "abstract": "In Hamiltonian mechanics, a (continuous) symmetry leads to conserved quantity, which is a function on (extended) phase space. In Nambu mechanics, a straightforward consequence of symmetry is just a relative integral invariant, a differential form which only upon integration over a cycle provides a conserved real number. The origin of the difference may be traced back to a shift in degrees of relevant forms present in equations of motion, or, alternatively, to a corresponding shift in degrees of relevant objects in action integral for Nambu mechanics.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-06-25T13:57:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "45.20.Jj"
    ],
    "keywords": [
      "nambu mechanics",
      "conserved quantity",
      "relevant objects",
      "hamiltonian mechanics",
      "relevant forms"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "AIP",
      "journal": "Journal of Mathematical Physics",
      "year": 2013,
      "month": "Oct",
      "volume": 54,
      "number": 10,
      "pages": 2901
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013JMP....54j2901F"
    }
  }
}