{
  "id": "1709.09030",
  "version": "v1",
  "published": "2017-09-23T14:25:07.000Z",
  "updated": "2017-09-23T14:25:07.000Z",
  "title": "Coordinate representation of the Lagrange-Poincaré equations for a mechanical system with symmetry on the total space of a principal fiber bundle whose base is the bundle space of the associated bundle",
  "authors": [
    "S. N. Storchak"
  ],
  "comment": "additions to the article 1612:08897. arXiv admin note: text overlap with arXiv:1612.08897",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "Using the dependent coordinates, the local Lagrange-Poincar\\'e equations and equations for the relative equilibria are obtained for a mechanical system with a symmetry describing the motion of two interacting scalar particles on a special Riemannian manifold (the product of the total space of the principal fiber bundle and the vector space) on which a free proper and isometric action of a compact semi-simple Lie group is given. As in gauge theories, dependent coordinates are implicitly determined by means of equations representing the local sections of the principal fiber bundle.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-09-23T14:25:07.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "principal fiber bundle",
      "total space",
      "mechanical system",
      "bundle space",
      "coordinate representation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}