Generalized Berwald metrics

Authors: ESMAEIL PEYGHAN, AKBAR TAYEBI

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

Full Text: PDF