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Journals / Hacettepe Journal of Mathematics and Statistics / 2021 / Cilt: 50 - Sayı: 6

On generalized weakly symmetric $\alpha$-cosymplectic manifolds

Mustafa Yıldırım
Selahattin Beyendi
Pages
1745–1755
Publication Date
2022-10-18
DOI
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AI Summary & Key Takeaways

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

On the basis of these results, we give one proper example of generalized weakly symmetric $\alpha$-cosymplectic manifolds.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:This study is concerned with some results on generalized weakly symmetric and generalized weakly Ricci-symmetric $\alpha$-cosymplectic manifolds.
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Key Findings & Data:We prove the necessary and sufficient conditions for an $\alpha$-cosymplectic manifold to be generalized weakly symmetric and generalized weakly Ricci-symmetric.
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Conclusion & Impact:On the basis of these results, we give one proper example of generalized weakly symmetric $\alpha$-cosymplectic manifolds.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Weakly symmetric manifold · weakly Ricci-symmetric manifold · generalized weakly symmetric manifold

Abstract

This study is concerned with some results on generalized weakly symmetric and generalized weakly Ricci-symmetric $\alpha$-cosymplectic manifolds. We prove the necessary and sufficient conditions for an $\alpha$-cosymplectic manifold to be generalized weakly symmetric and generalized weakly Ricci-symmetric. On the basis of these results, we give one proper example of generalized weakly symmetric $\alpha$-cosymplectic manifolds.

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Cite This Article

Yıldırım, M., Beyendi, S. (2022). On generalized weakly symmetric $\alpha$-cosymplectic manifolds. Hacettepe Journal of Mathematics and Statistics, Cilt: 50 - Sayı: 6, 1745–1755. https://ajindex.com/articles/529509

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