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

Document Type : Original Article

Authors
Akbar Tayebi
Marzieh Amini
Department of Mathematics, Faculty of Science, University of Qom, Qom, Iran.
10.29252/maco.1.2.3
Abstract
  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

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Mathematical Analysis and Convex Optimization
Volume 1, Issue 2
December 2020
Pages 25-34