Turkish Journal of Mathematics
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.
DOI
10.3906/mat-1003-221
Keywords
Berwald metric, landsberg metric, randers metric
First Page
475
Last Page
484
Recommended Citation
PEYGHAN, E, & TAYEBI, A (2012). Generalized Berwald metrics. Turkish Journal of Mathematics 36 (3): 475-484. https://doi.org/10.3906/mat-1003-221
