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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
The same theorem for C-reducible metrics of scalar flag curvature is also investigated.
📌 3 Key Takeaways
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Objective & Hypothesis:Projective Ricci curvature is a projective invariant quantity in Finsler geometry which is introduced by Z.
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Key Findings & Data:In this paper, we study special projective Ricci curvature of C-reducible Finsler metrics.
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Conclusion & Impact:The same theorem for C-reducible metrics of scalar flag curvature is also investigated.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Isotropic PRic-curvature · C-reducible Finsler metrics · Douglas metric
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.
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Cite This Article
GHAEMNEZHAD, L., REZAEI, B., GABRANI, M. (2019). On isotropic projective Ricci curvature of C-reducible Finsler metrics. Turkish Journal of Mathematics, Cilt: 43 - Sayı: 3, 1730–1741. https://ajindex.com/articles/185594