{
  "id": "math-ph/0406039",
  "version": "v1",
  "published": "2004-06-18T12:41:43.000Z",
  "updated": "2004-06-18T12:41:43.000Z",
  "title": "Variational principles for involutive systems of vector fields",
  "authors": [
    "G. Gaeta",
    "P. Morando"
  ],
  "comment": "31 pages. To appear in International Journal of Geometric Methods in Modern Physics (IJGMMP)",
  "journal": "Int. J. Geom. Meth. Mod. Phys. 1 (2004), 201-232",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "In many relevant cases -- e.g., in hamiltonian dynamics -- a given vector field can be characterized by means of a variational principle based on a one-form. We discuss how a vector field on a manifold can also be characterized in a similar way by means of an higher order variational principle, and how this extends to involutive systems of vector fields.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-06-18T12:41:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "58A15",
      "58A30"
    ],
    "keywords": [
      "vector field",
      "involutive systems",
      "higher order variational principle",
      "relevant cases",
      "hamiltonian dynamics"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1142/S0219887804000125",
      "journal": "International Journal of Geometric Methods in Modern Physics",
      "year": 2004,
      "month": "Jun",
      "volume": 1,
      "number": 3,
      "pages": 201
    },
    "note": {
      "typesetting": "TeX",
      "pages": 31,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004IJGMM..01..201G"
    }
  }
}