{
  "id": "0802.1268",
  "version": "v1",
  "published": "2008-02-09T15:38:29.000Z",
  "updated": "2008-02-09T15:38:29.000Z",
  "title": "Jet Berwald-Riemann-Lagrange Geometrization for Affine Maps between Finsler Manifolds",
  "authors": [
    "Mircea Neagu"
  ],
  "comment": "22 pages",
  "categories": [
    "math.DG"
  ],
  "abstract": "In this paper we introduce a natural definition for the affine maps between two Finsler manifolds $(M, F)$ and $(N,\\tilde F)$ and we give some geometrical properties of these affine maps. Starting from the equations of the affine maps, we construct a natural Berwald-Riemann-Lagrange geometry on the 1-jet space $J^1(TM;N)$, in the sense of a Berwald nonlinear connection $\\Gamma^b_jet$, a Berwald $\\Gamma^b_jet$-linear d-connection $B\\Gamma^b_jet$, together with its d-torsions and d-curvatures, which geometrically characterizes the initial affine maps between Finsler manifolds.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-02-09T15:38:29.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "58E20",
      "53C07",
      "53C43"
    ],
    "keywords": [
      "finsler manifolds",
      "jet berwald-riemann-lagrange geometrization",
      "berwald nonlinear connection",
      "initial affine maps",
      "natural berwald-riemann-lagrange geometry"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0802.1268N"
    }
  }
}