Turkish Journal of Mathematics
Abstract
Projective Ricci curvature is a projective invariant quantity in Finsler geometry which is introduced by Z. Shen. In this paper, we study special projective Ricci curvature of C-reducible Finsler metrics. The necessary and sufficient conditions of these metrics, which cause these metrics to be weak or isotropic projective Ricci curvature, are found and it is proved that C-reducible Douglas metric of isotropic PRic-curvature must be PRic flat. The same theorem for C-reducible metrics of scalar flag curvature is also investigated.
DOI
10.3906/mat-1807-209
Keywords
Isotropic PRic-curvature, C-reducible Finsler metrics, Douglas metric, scalar flag curvature
First Page
1730
Last Page
1741
Recommended Citation
GHAEMNEZHAD, L, REZAEI, B, & GABRANI, M (2019). On isotropic projective Ricci curvature of C-reducible Finsler metrics. Turkish Journal of Mathematics 43 (3): 1730-1741. https://doi.org/10.3906/mat-1807-209
