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Journals / Turkish Journal of Mathematics / 2019 / Cilt: 43 - Sayı: 3

On isotropic projective Ricci curvature of C-reducible Finsler metrics

Laya GHASEMNEZHAD
Bahman REZAEI
Mehran GABRANI
Pages
1730–1741
Publication Date
2022-11-04
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

The same theoremfor 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.Shen.
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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 theoremfor C-reducible metrics of scalar flag curvature is also investigated.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

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 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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Cite This Article

GHASEMNEZHAD, L., REZAEI, B., GABRANI, M. (2022). On isotropic projective Ricci curvature of C-reducible Finsler metrics. Turkish Journal of Mathematics, Cilt: 43 - Sayı: 3, 1730–1741. https://ajindex.com/articles/607697

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