Finsler warped product metrics with relatively isotropic mean Landsberg curvature

Abstract

In this paper, we study Finsler warped product metrics with relatively isotropic mean Landsberg curvature. Moreover, we classify the class of Douglas-type Finsler warped product metrics with relatively isotropic Landsberg curvature. This study then proves that Douglas-type Finsler warped product metrics with relatively isotropic Landsberg curvature must be either Berwald metrics or Randers metrics. © 2024 Institute of Mathematics, University of Debrecen. All rights reserved.