- Turkish Journal of Mathematics
- Vol: 43 Issue: 3
- On isotropic projective Ricci curvature of C-reducible Finsler metrics
On isotropic projective Ricci curvature of C-reducible Finsler metrics
Authors : Laya Ghaemnezhad, Bahman Rezaei, Mehran Gabrani
Pages : 1730-1741
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Publication Date : 9999-12-31
Article Type : Makaleler
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.Keywords : Isotropic PRic-curvature, C-reducible Finsler metrics, Douglas metric, scalar flag curvature