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, -recurrent, -recurrent, -recurrent, -like, quasi--reducible, -reducible, Berwald space, -recurrent, -Finsler manifold, -like, -symmetric, Finsler manifold of -scalar curvature and Finsler manifold of --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