Turkish Journal of Mathematics
DOI
10.3906/mat-1003-221
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
First Page
475
Last Page
484
Recommended Citation
PEYGHAN, ESMAEIL and TAYEBI, AKBAR
(2012)
"Generalized Berwald metrics,"
Turkish Journal of Mathematics: Vol. 36:
No.
3, Article 13.
https://doi.org/10.3906/mat-1003-221
Available at:
https://journals.tubitak.gov.tr/math/vol36/iss3/13
