Laya GHASEMNEZHAD, Bahman REZAEI, Mehran GABRANI

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 andsufficient conditions of these metrics, which cause these metrics to be weak or isotropic projective Ricci curvature, arefound and it is proved that C-reducible Douglas metric of isotropic PRic-curvature must be PRic flat. The same theoremfor C-reducible metrics of scalar flag curvature is also investigated.

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

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