Nonholonomic frames for Finsler spaces with special (alpha, beta)-metric
Abstract
The purpose of present paper to determine the Finsler spaces due to deformation of special Finsler $ (\alpha, \beta) $ metric. Consequently, we obtain the non-holonomic frame with help of Riemannian metric $ \alpha $ , one form metric $ \beta $ and Randers metric such as forms
I. $L(\alpha, \beta)=\alpha \beta + \beta^{2} $ i.e. product of Randers metric and 1-form metric and
II. $L(\alpha, \beta)= \alpha^{2} + \alpha \beta$ i.e. product of Randers metric and Riemannian metric.
Copyright © 2018 Brijesh Kumar Tripathi, V. K. Chaubey. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
B. K. Tripathi, V. K. Chaubey, Nonholonomic frames for Finsler spaces with special (alpha, beta)-metric, J. Math. Comput. Sci. 8 (2018), 290–296. https://doi.org/10.28919/jmcs/3584
BibTeX
@article{Tripathi2018,
author = {Tripathi, Brijesh Kumar and Chaubey, V. K.},
title = {Nonholonomic frames for Finsler spaces with special (alpha, beta)-metric},
journal = {J. Math. Comput. Sci.},
volume = {8},
year = {2018},
pages = {290--296},
doi = {10.28919/jmcs/3584}
}