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arXiv · 1812.09579

On the Reversible Geodesics for a Finsler space with Randers change of Quartic metric

Gauree Shanker·Ruchi Kaushik Sharma
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Abstract

In this paper, we consider a Finsler space with a Randers change of Quartic metric F = $\sqrt[4]{\alpha^4 + \beta^4} + \beta$. The conditions for this space to be with reversible geodesics are obtained. Further, we study some geometrical properties of F with reversible geodesics and prove that the Finsler metric F induces a generalized weighted quasi-distance $d_F$ on M.

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Gauree Shanker, Ruchi Kaushik Sharma. 2018-12-22. On the Reversible Geodesics for a Finsler space with Randers change of Quartic metric. https://arxiv.org/abs/1812.09579

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