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

Abstract

In this paper, we consider a Finsler space with a Randers change of Quartic metric F = [4]α4 + β4 + β. 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 dF on M.

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