{
  "id": "2010.16135",
  "version": "v1",
  "published": "2020-10-30T09:15:29.000Z",
  "updated": "2020-10-30T09:15:29.000Z",
  "title": "Geometric integration by parts and Lepage equivalents",
  "authors": [
    "Marcella Palese",
    "Olga Rossi",
    "Fabrizio Zanello"
  ],
  "comment": "37 pages",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "We compare the integration by parts of contact forms - leading to the definition of the interior Euler operator - with the so-called canonical splittings of variational morphisms. In particular, we discuss the possibility of a generalization of the first method to contact forms of lower degree. We define a suitable Residual operator for this case and, working out an original idea conjectured by Olga Rossi, we recover the Krupka-Betounes equivalent for first order field theories. A generalization to the second order case is discussed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-10-30T09:15:29.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53Z05",
      "58A20",
      "58Z05"
    ],
    "keywords": [
      "geometric integration",
      "lepage equivalents",
      "contact forms",
      "first order field theories",
      "interior euler operator"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 37,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}