{
  "id": "math-ph/0407054",
  "version": "v4",
  "published": "2004-07-23T12:38:34.000Z",
  "updated": "2005-04-27T10:48:21.000Z",
  "title": "Generalized Bianchi identities in gauge-natural field theories and the curvature of variational principles",
  "authors": [
    "M. Francaviglia",
    "M. Palese",
    "E. Winterroth"
  ],
  "comment": "12 pages, minor changes, references list updated; presented at XXXVI Symposium on Math. Phys., Torun 09/06-12/06/04; v4 to appear in Rep. Math. Phys",
  "journal": "Rep. Math. Phys. 56(1) (2005) 11--22.",
  "doi": "10.1016/S0034-4877(05)80038-2",
  "categories": [
    "math-ph",
    "math.DG",
    "math.MP"
  ],
  "abstract": "By resorting to Noether's Second Theorem, we relate the generalized Bianchi identities for Lagrangian field theories on gauge-natural bundles with the kernel of the associated gauge-natural Jacobi morphism. A suitable definition of the curvature of gauge-natural variational principles can be consequently formulated in terms of the Hamiltonian connection canonically associated with a generalized Lagrangian obtained by contracting field equations.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2005-04-27T10:48:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "58A20",
      "58A32",
      "58E30"
    ],
    "keywords": [
      "generalized bianchi identities",
      "gauge-natural field theories",
      "gauge-natural variational principles",
      "lagrangian field theories",
      "noethers second theorem"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Reports on Mathematical Physics",
      "year": 2005,
      "month": "Aug",
      "volume": 56,
      "number": 1,
      "pages": 11
    },
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 655184,
      "adsabs": "2005RpMP...56...11F"
    }
  }
}