Some intrinsic properties of h-Randers conformal change
General Mathematics
2019-12-30 v1
Abstract
In the present paper we have considered h-Randers conformal change of a Finsler metric , which is defined as \begin{center} L(x,y)\rightarrow \bar{L}(x, y)=e^{\sigma(x)}L(x, y)+\beta (x, y), \end{center} where \sigma(x) \beta(x, y) = b_{i}(x, y)y^{i}M^{n}b_{i}$ satisfies the condition of being an h-vector. We have obtained the expressions for geodesic spray coefficients under this change. Further we have studied some special Finsler spaces namely quasi-C-reducible, C-reducible, S3-like and S4-like Finsler spaces arising from this metric. We have also obtained the condition under which this change of metric leads a Berwald (or a Landsberg) space into a space of the same kind.
Keywords
Cite
@article{arxiv.1506.05102,
title = {Some intrinsic properties of h-Randers conformal change},
author = {H. S. Shukla and V. K. Chaubey and Arunima Mishra},
journal= {arXiv preprint arXiv:1506.05102},
year = {2019}
}