English

Conformal change of special Finsler spaces

Differential Geometry 2014-11-20 v1 General Relativity and Quantum Cosmology

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, ChC^{h}-recurrent, CvC^{v}-recurrent, C0C^{0}-recurrent, C2C_{2}-like, quasi-CC-reducible, CC-reducible, Berwald space, SvS^{v}-recurrent, PP^*-Finsler manifold, R3R_{3}-like, PP-symmetric, Finsler manifold of pp-scalar curvature and Finsler manifold of ss-psps-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.

Keywords

Cite

@article{arxiv.0908.0696,
  title  = {Conformal change of special Finsler spaces},
  author = {Nabil L. Youssef and S. H. Abed and A. Soleiman},
  journal= {arXiv preprint arXiv:0908.0696},
  year   = {2014}
}

Comments

LaTeX file, 18 pages