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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 L L , 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) isafunctionofx, is a function of x, \beta(x, y) = b_{i}(x, y)y^{i}isa1formon is a 1- form on M^{n}and and 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}
}