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Journals / International Electronic Journal of Geometry / 2023 / Cilt: 16 Sayı: 1

Existence and Nonexistence of Warped Product Submanifolds of Almost Contact Manifolds

Abdulqader MUSTAFA
Cenap OZEL
Alexander PİGAZZİNİ
Richard PİNCAK
Pages
367–378
Publication Date
2023-04-30
DOI
—
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AI Summary & Key Takeaways

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

For further research direction, we addressed a couple of open problems arose from the results of this paper.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:This paper has two goals; the first is to generalize results for the existence and nonexistence of warped product submanifolds of almost contact manifolds, accordingly a self-contained reference of such submanifolds is offered to save efforts of potential research.
📊
Key Findings & Data:Most of the results of this paper are general and decisive enough to generalize both known and new results.
💡
Conclusion & Impact:For further research direction, we addressed a couple of open problems arose from the results of this paper.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Contact $CR$-warped products · Sasakian manifolds · Kenmotsu manifolds

Abstract

This paper has two goals; the first is to generalize results for the existence and nonexistence of warped product submanifolds of almost contact manifolds, accordingly a self-contained reference of such submanifolds is offered to save efforts of potential research. Most of the results of this paper are general and decisive enough to generalize both known and new results. Moreover, a discrete example of contact $CR$-warped product submanifold in Kenmotsu manifold is constructed. For further research direction, we addressed a couple of open problems arose from the results of this paper.

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Cite This Article

MUSTAFA, A., OZEL, C., PİGAZZİNİ, A., PİNCAK, R. (2023). Existence and Nonexistence of Warped Product Submanifolds of Almost Contact Manifolds. International Electronic Journal of Geometry, Cilt: 16 Sayı: 1, 367–378. https://ajindex.com/articles/929627

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