Conformally Flat 4-th root (α, β)-Metrics with Relatively Isotropic Mean Landsberg Curvature

 In this paper, we study conformally flat  4-th root (α, β)-metrics on a manifold $M$ of dimension $ngeq3$.  We prove that every conformally flat  4-th root (α, β)-metric with relatively isotropic mean Landsberg curvature must be either Riemannian metrics or locally Minkowski metrics.  

Keywords:

Exponential metric , conformally flat metric , relatively isotropic mean Landsberg curvature.