On Conformally Flat 5-th root (α, β)-Metrics with Relatively Isotropic Mean Landsberg Curvature

Document Type : Original Article


Department of Mathematics, Faculty of science University of Qom, Qom, Iran.


In this paper, we study conformally flat 5-th root (α, β)-metrics. We prove that every
conformally flat 5-th root (α, β)-metric with relatively isotropic mean Landsberg curvature
must be either Riemannian metrics or locally Minkowski metrics.