{
  "id": "0712.3067",
  "version": "v6",
  "published": "2007-12-19T16:32:42.000Z",
  "updated": "2008-12-04T19:14:04.000Z",
  "title": "Differential Forms on Riemannian (Lorentzian) and Riemann-Cartan Structures and Some Applications to Physics",
  "authors": [
    "Waldyr A. Rodrigues Jr"
  ],
  "comment": "Some few important misprints appearing in the version of the paper published in AFLB (in a special issue dedicated to torsion) are corrected",
  "journal": "Ann. Fond. L. de Broglie 32 (4), 425-478 (2007)",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "In this paper after recalling some essential tools concerning the theory of differential forms in the Cartan, Hodge and Clifford bundles over a Riemannian or Riemann-Cartan space or a Lorentzian or Riemann-Cartan spacetime we solve with details several exercises involving different grades of difficult. One of the problems is to show that a recent formula appearing in the literature for the exterior covariant derivative of the Hodge dual of the torsion 2-forms is simply wrong. We believe that the paper will be useful for students (and eventually for some experts) on applications of differential geometry on physical problems. A detailed account of the issues discussed in the paper appears in the table of contents.",
  "revisions": [
    {
      "version": "v6",
      "updated": "2008-12-04T19:14:04.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "differential forms",
      "riemann-cartan structures",
      "lorentzian",
      "riemannian",
      "applications"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 776768,
      "adsabs": "2007arXiv0712.3067R"
    }
  }
}