{
  "id": "1311.0260",
  "version": "v1",
  "published": "2013-11-01T19:06:04.000Z",
  "updated": "2013-11-01T19:06:04.000Z",
  "title": "A geometric approach to discrete connections on principal bundles",
  "authors": [
    "Javier Fernandez",
    "Marcela Zuccalli"
  ],
  "comment": "12 pages",
  "categories": [
    "math.DG",
    "math-ph",
    "math.MP"
  ],
  "abstract": "This work revisits, from a geometric perspective, the notion of discrete connection on a principal bundle, introduced by M. Leok, J. Marsden and A. Weinstein. It provides precise definitions of discrete connection, discrete connection form and discrete horizontal lift and studies some of their basic properties and relationships. An existence result for discrete connections on principal bundles equipped with appropriate Riemannian metrics is proved.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-11-01T19:06:04.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53B15",
      "53C05",
      "37J15",
      "70G45"
    ],
    "keywords": [
      "principal bundle",
      "geometric approach",
      "discrete horizontal lift",
      "discrete connection form",
      "appropriate riemannian metrics"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1311.0260F"
    }
  }
}