Laya GHAEMNEZHAD, Bahman REZAEI, Mehran GABRANI

127118

On isotropic projective Ricci curvature of C-reducible Finsler metrics

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,

Turkish Journal of Mathematics-Cover

ISSN: 1300-0098
Yayın Aralığı: 6
Yayıncı: TÜBİTAK

Arşiv

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