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Journals / International Electronic Journal of Geometry / 2020 / Volume: 13 Issue: 2

Kählerian Manifold on the Product of Two Trans-Sasakian Manifolds

Bouzir Habib(University of Mascara)
Beldjılalı Gherici(University of Mascara)0000-0002-8933-1548
Pages
—
Publication Date
2020-10-15
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AI Summary & Key Takeaways

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

Concrete examples are given. .......................................................................

📌 3 Key Takeaways

🎯
Objective & Hypothesis:It's shown that for some changes of metrics and structural tensors, the product of two Trans-Sasakian manifolds is a K\"{a}hlerian manifold.
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Key Findings & Data:This gives a new positive answer and more generally to Blair-Oubi$\tilde{n}$a's open question (see [7] and [17]).
💡
Conclusion & Impact:Concrete examples are given. .......................................................................
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Trans-Sasakian manifolds · K\"ahlerian manifolds · product manifolds

Abstract

It's shown that for some changes of metrics and structural tensors, the product of two Trans-Sasakian manifolds is a K\"{a}hlerian manifold. This gives a new positive answer and more generally to Blair-Oubi$\tilde{n}$a's open question (see [7] and [17]). Concrete examples are given. .......................................................................

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Cite This Article

Habib, B., Gherici, B. (2020). Kählerian Manifold on the Product of Two Trans-Sasakian Manifolds. International Electronic Journal of Geometry, Volume: 13 Issue: 2. https://doi.org/10.36890/iejg.756830

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