On conformally flat cubic (α, β)-metrics

In this paper, we study the class of conformally flat cubic (α, β)-metrics. We prove that every conformally flat cubic (α, β)-metric with relatively isotropic mean Landsberg curvature must be either Riemannian metrics or locally Minkowski metrics.

Keywords:

cubic metric , (α , β)-metric , Conformally flat metric , relatively isotropic mean Landsberg curvature