Conformal change of special Finsler spaces

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, $P^{\ast }$-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.

LaTeX file, 18 pages

References in corpus (2)

• Geometric objects associated with the fundamental connections in Finsler geometry
• A Global Theory of Conformal Finsler Geometry