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Journals / International Electronic Journal of Geometry / 2026 / Volume: 19 Issue: 1

On 3D Generalized Trans-Sasakian Manifold

Beldjilali Gherici(Univesity of Mustapha Istambouli, Mascara)0000-0002-8933-1548
Pages
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Publication Date
2026-04-22
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⚡ TL;DR(Too Long; Didn't Read)

In particular, expressions for Ricci tensor are obtained in a 3-dimensional generalized trans-Sasakian manifold in cases of the manifold being quasi-Einstein or generalized quasi-Einstein.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In a 3-dimensional generalized trans-Sasakian manifold, explicit formula for Ricci operator, Ricci tensor and curvature tensor are obtained.
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Key Findings & Data:In a 3-dimensional generalized trans-Sasakian manifold, explicit formula for Ricci operator, Ricci tensor and curvature tensor are obtained.
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Conclusion & Impact:In particular, expressions for Ricci tensor are obtained in a 3-dimensional generalized trans-Sasakian manifold in cases of the manifold being quasi-Einstein or generalized quasi-Einstein.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Almost contact metric structure · cosymplectic manifolds · Sasakian manifolds

Abstract

In a 3-dimensional generalized trans-Sasakian manifold, explicit formula for Ricci operator, Ricci tensor and curvature tensor are obtained. In particular, expressions for Ricci tensor are obtained in a 3-dimensional generalized trans-Sasakian manifold in cases of the manifold being quasi-Einstein or generalized quasi-Einstein.

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Cite This Article

Gherici, B. (2026). On 3D Generalized Trans-Sasakian Manifold. International Electronic Journal of Geometry, Volume: 19 Issue: 1. https://doi.org/10.36890/iejg.1687352

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