{
  "id": "0908.0696",
  "version": "v1",
  "published": "2009-08-05T15:52:04.000Z",
  "updated": "2009-08-05T15:52:04.000Z",
  "title": "Conformal change of special Finsler spaces",
  "authors": [
    "Nabil L. Youssef",
    "S. H. Abed",
    "A. Soleiman"
  ],
  "comment": "LaTeX file, 18 pages",
  "journal": "Balkan J. Geom. Appl., 15, 2 (2010), 148-158",
  "categories": [
    "math.DG",
    "gr-qc"
  ],
  "abstract": "The present paper is a continuation of a foregoing paper [Tensor, N. S., 69 (2008), 155-178]. The main aim is to establish \\emph{an intrinsic investigation} of the conformal change of the most important special Finsler spaces, namely, $C^{h}$-recurrent, $C^{v}$-recurrent, $C^{0}$-recurrent, $C_{2}$-like, quasi-$C$-reducible, $C$-reducible, Berwald space, $S^{v}$-recurrent, $P^*$-Finsler manifold, $R_{3}$-like, $P$-symmetric, Finsler manifold of $p$-scalar curvature and Finsler manifold of $s$-$ps$-curvature. Necessary and sufficient conditions for such special Finsler manifolds to be invariant under a conformal change are obtained. Moreover, the conformal change of Chern and Hashiguchi connections, as well as their curvature tensors, are given.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-08-05T15:52:04.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C60",
      "53B40"
    ],
    "keywords": [
      "conformal change",
      "important special finsler spaces",
      "special finsler manifolds",
      "main aim",
      "sufficient conditions"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 865329,
      "adsabs": "2009arXiv0908.0696Y"
    }
  }
}