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

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.

کلیدواژه ها:

Complex structure ، Geodesic vector ، Hypercomplex structure ، infinite series metric