Generalized Berwald metrics

Authors : Esmaeil PEYGHAN, Esmaeil Peyghan, Akbar Tayebi

Pages : 475-484

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Publication Date : 0000-00-00

Article Type : Research Paper

Abstract :In this paper, we consider a class of Finsler metrics called generalized Berwald metrics which contains the class of Berwald metrics as a special case. We prove that every generalized Berwald metrics with non-zero scalar flag curvature or isotropic Berwald curvature is a Randers metric. Then we prove that on generalized Berwald metrics, the notions of generalized Landsberg and Landsberg curvatures are equivalent.
Keywords : Berwald metric, landsberg metric, randers metric