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Journals / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2022 / Volume: 71 Issue: 4

Some results on pseudosymmetric normal paracontact metric manifolds

Mehmet Atçeken(AKSARAY UNIVERSITY)0000-0002-1242-4359
Tuğba Mert(CUMHURIYET UNIVERSITY)0000-0001-8258-8298
Pages
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Publication Date
2022-12-30
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AI Summary & Key Takeaways

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

Finally, we support our topic with an example.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this article, the M-projective and Weyl curvature tensors on a normal paracontact metric manifold are discussed.
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Key Findings & Data:For normal paracontact metric manifolds, pseudosymmetric cases are investigated and some interesting results are obtained.
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Conclusion & Impact:Finally, we support our topic with an example.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:M-projective curvature tensor · Weyl curvature tensor · Einstein manifold

Abstract

In this article, the M-projective and Weyl curvature tensors on a normal paracontact metric manifold are discussed. For normal paracontact metric manifolds, pseudosymmetric cases are investigated and some interesting results are obtained. We show that a semisymmetric normal paracontact manifold is of constant sectional curvature. We also obtain that a pseudosymmetric normal paracontact metric manifold is an η η -Einstein manifold. Finally, we support our topic with an example.

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Cite This Article

Atçeken, M., Mert, T. (2022). Some results on pseudosymmetric normal paracontact metric manifolds. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 71 Issue: 4. https://doi.org/10.31801/cfsuasmas.937043

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