Geodesic vectors of infinite series (α, β)-metric on hypercomplex four dimensional Lie groups

Document Type : Original Article

Author

Department of Mathematics, University of Mohaghegh Ardabili, p.o.box. 5619911367, Ardabil-Iran.

Abstract

In this paper, we consider invariant infinite series  (α, β)--metrics. Then we describe all geodesic vectors of this spaces on the left invariant hypercomplex four dimensional simply connected Lie groups.

Keywords