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Journals / Fundamental Journal of Mathematics and Applications / 2020 / Volume: 3 Issue: 2

Projective Curvature Tensor on N($\kappa$)-Contact Metric Manifold Admitting Semi-Symmetric Non-Metric Connection

Mustafa Altın(BİNGÖL ÜNİVERSİTESİ, BİNGÖL TEKNİK BİLİMLER MESLEK YÜKSEKOKULU)0000-0001-5544-5910
Pages
—
Publication Date
2020-12-15
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AI Summary & Key Takeaways

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⚡ TL;DR(Too Long; Didn't Read)

Also, we examine such manifolds under some local symmetry conditions related to projective curvature tensor.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The object of the present paper is to classify $N(\kappa)$-contact metric manifolds admitting the semi-symmetric non-metric connection with certain curvature conditions the projectively curvature tensor.
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Key Findings & Data:We studied projective flat, $\xi- $projectively flat, $\phi- $projectively flat $N(\kappa )$-contact metric manifolds admitting the semi-symmetric non-metric connection.
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Conclusion & Impact:Also, we examine such manifolds under some local symmetry conditions related to projective curvature tensor.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:$N(\kappa)$-contact metric manifolds · Projective curvature tensor · Semi-symmetric non-metric connection

Abstract

The object of the present paper is to classify $N(\kappa)$-contact metric manifolds admitting the semi-symmetric non-metric connection with certain curvature conditions the projectively curvature tensor. We studied projective flat, $\xi- $projectively flat, $\phi- $projectively flat $N(\kappa )$-contact metric manifolds admitting the semi-symmetric non-metric connection. Also, we examine such manifolds under some local symmetry conditions related to projective curvature tensor.

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Cite This Article

Altın, M. (2020). Projective Curvature Tensor on N($\kappa$)-Contact Metric Manifold Admitting Semi-Symmetric Non-Metric Connection. Fundamental Journal of Mathematics and Applications, Volume: 3 Issue: 2. https://doi.org/10.33401/fujma.733415

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