{
  "id": "1004.5478",
  "version": "v3",
  "published": "2010-04-30T09:11:16.000Z",
  "updated": "2010-06-08T16:37:51.000Z",
  "title": "Generalized $β$-conformal change and special Finsler spaces",
  "authors": [
    "Nabil L. Youssef",
    "S. H. Abed",
    "S. G. Elgendi"
  ],
  "comment": "References added, some modifications are performed, LateX file, 24 pages",
  "journal": "Int. J. Geom. Meth. Mod. Phys., 9, 3 (2012) 1250016 (25pp)",
  "doi": "10.1142/S0219887812500168",
  "categories": [
    "math.DG",
    "gr-qc"
  ],
  "abstract": "In this paper, we investigate the change of Finslr metrics $$L(x,y) \\to\\bar{L}(x,y) = f(e^{\\sigma(x)}L(x,y),\\beta(x,y)),$$ which we refer to as a generalized $\\beta$-conformal change. Under this change, we study some special Finsler spaces, namely, quasi C-reducible, semi C-reducible, C-reducible, $C_2$-like, $S_3$-like and $S_4$-like Finsler spaces. We also obtain the transformation of the T-tensor under this change and study some interesting special cases. We then impose a certain condition on the generalized $\\beta$-conformal change, which we call the b-condition, and investigate the geometric consequences of such condition. Finally, we give the conditions under which a generalized $\\beta$-conformal change is projective and generalize some known results in the literature.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2010-06-08T16:37:51.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53B40",
      "53B05"
    ],
    "keywords": [
      "special finsler spaces",
      "conformal change",
      "generalize",
      "interesting special cases",
      "geometric consequences"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 854073,
      "adsabs": "2010arXiv1004.5478Y"
    }
  }
}