Some classes of projectively and dually flat Finsler spaces with Randers change
Differential Geometry
2017-12-22 v1
Abstract
In this paper, we consider Randers change of some special metrics. First we find the fundamental metric tensor and Cartan tensor of these Randers changed metrics. Next, we establish a general formula for inverse of fundamental metric tensors of these metrics. Finally, we find the necessary and sufficient conditions under which the Randers change of these metrics are projectively and locally dually flat.
Keywords
Cite
@article{arxiv.1712.07865,
title = {Some classes of projectively and dually flat Finsler spaces with Randers change},
author = {Gauree Shanker and Sarita Rani and Kirandeep Kaur},
journal= {arXiv preprint arXiv:1712.07865},
year = {2017}
}
Comments
55 Pages, No figure