Title of article :
Conformally Flat 4-th root (α, β)-Metrics with Relatively Isotropic Mean Landsberg Curvature
Author/Authors :
Tayebi ، Akbar Department of Mathematics - Faculty of Science - University of Qom , Amini ، Marzeiya Department of Mathematics - Faculty of Science - University of Qom
Abstract :
In this paper, we study conformally flat 4-th root (α, β)- metrics on a manifold M of dimension n ≥ 3. We prove that ev ery conformally flat 4-th root (α, β)-metric with relatively isotropic mean Landsberg curvature must be either Riemannian metrics or lo cally Minkowski metrics.
Keywords :
Exponential metric , conformally flat metric , relatively isotropic mean Landsberg curvature
Journal title :
Mathematical Analysis and Convex Optimization
Journal title :
Mathematical Analysis and Convex Optimization