Study of geodesic equations of Randers metrics on para-hypercomplex Lie groups

Document Type : Research Articles

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Department of Mathematics, University of Mohaghegh Ardabili, P.O.Box. 5619911367, Ardabil-Iran

Abstract

In this paper, we study the 4-dimensional para-hypercomplex Lie groups equipped with a left invariant Randers metric. We first get all the equations related to geodesic vectors on four dimensional para-hypercomplex Lie groups. Finally, we show the condition of the equivalence of geodesic vectors in the Riemannian and Finslerian spaces.

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