On conformally flat cubic (α, β)-metrics

Document Type : Original Article


Department of Mathematics, Faculty of Science, University of Qom, Qom. Iran E-mail: marzeia.amini@gmail.com


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.