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Dergiler / International Electronic Journal of Geometry / 2026 / Volume: 16 Issue: 1

Existence and Nonexistence of Warped Product Submanifolds of Almost Contact Manifolds

Abdulqader Mustafa(Palestine Technical University)0000-0001-8380-4562
Cenap Ozel(Kind Abdulaziz University)0000-0001-8005-7039
Alexander Pigazzini(Mathematical and Physical Science Foundation)0000-0002-8509-7512
Richard Pincak(Institute of Experimental Physics, Slovak Academy of Sciences)0000-0002-5772-4777
Sayfa
—
Yayın Tarihi
2023-04-30
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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

📌 3 Maddede Bu Makale

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Amaç & Hipotez: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.
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Temel Bulgular & Veri:Most of the results of this paper are general and decisive enough to generalize both known and new results.
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Sonuç & Katkı:For further research direction, we addressed a couple of open problems arose from the results of this paper.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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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Bu Makaleye Atıf Yap

Mustafa, A., Ozel, C., Pigazzini, A., Pincak, R. (2023). Existence and Nonexistence of Warped Product Submanifolds of Almost Contact Manifolds. International Electronic Journal of Geometry, Volume: 16 Issue: 1. https://doi.org/10.36890/iejg.1131334

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Kaynakça (26)

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