{
  "id": "0707.1320",
  "version": "v2",
  "published": "2007-07-09T18:45:56.000Z",
  "updated": "2007-11-30T16:52:54.000Z",
  "title": "Cartan and Berwald connections in the pullback formalism",
  "authors": [
    "Nabil L. Youssef",
    "S. H. Abed",
    "A. Soleiman"
  ],
  "comment": "LaTeX file, 14 pages, fundamental changes of the paper",
  "journal": "Algebras, Groups and Geometries, 25, 4(2008), 363-386.",
  "categories": [
    "math.DG"
  ],
  "abstract": "Adopting the pullback approach to global Finsler geometry, the aim of the present paper is to provide new intrinsic (coordinate-free) proofs of intrinsic versions of the existence and uniqueness theorems for the Cartan and Berwald connections on a Finsler manifold. To accomplish this, the notions of semispray and nonlinear connection associated with a given regular connection, in the pullback bundle, is introduced and investigated. Moreover, it is shown that for the Cartan and Berwald connections, the associated semispray coincides with the canonical spray and the associated nonlinear connection coincides with the Barthel connection. An explicit intrinsic expression relating both connections is deduced.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2007-11-30T16:52:54.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C60",
      "53B40"
    ],
    "keywords": [
      "berwald connections",
      "pullback formalism",
      "associated nonlinear connection coincides",
      "global finsler geometry",
      "pullback approach"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0707.1320Y"
    }
  }
}