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Journals / Konuralp Journal of Mathematics / 2026 / Volume: 5 Issue: 1

ON 3-DIMENSIONAL $\alpha$-PARA KENMOTSU MANIFOLDS

KRISHANU Mandal(University of Calcutta)
U.C. De(University of Calcutta)
Pages
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Publication Date
2017-04-01
DOI
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AI Summary & Key Takeaways

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

Finally, we give an example of a 3-dimensional $\alpha$-para Kenmotsu manifold which veries some results.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The aim of the present paper is to study 3-dimensional alpha-para Kenmotsu manifolds.
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Key Findings & Data:First we consider 3-dimensional Ricci semisymmetric $\alpha$-para Kenmotsu manifolds and obtain some equivalent conditions.
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Conclusion & Impact:Finally, we give an example of a 3-dimensional $\alpha$-para Kenmotsu manifold which veries some results.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:$\alpha$-para Kenmotsu manifolds · Quasi constant curvature · Ricci semisymmetric

Abstract

The aim of the present paper is to study 3-dimensional alpha-para Kenmotsu manifolds. First we consider 3-dimensional Ricci semisymmetric $\alpha$-para Kenmotsu manifolds and obtain some equivalent conditions. Next we study cyclic parallel Ricci tensor in 3-dimensional $\alpha$-para Kenmotsu manifolds. Moreover, we investigate $\eta$-parallel Ricci tensor in 3-dimensional $\alpha$-para Kenmotsu manifolds. Continuing our study, we consider locally $\phi$-symmetric 3-dimensional alpha-para Kenmotsu manifolds. Next, we study gradient Ricci solitons in 3-dimensional $\alpha$-para Kenmotsu manifolds. Finally, we give an example of a 3-dimensional $\alpha$-para Kenmotsu manifold which veries some results.

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Cite This Article

Mandal, K., De, U. (2017). ON 3-DIMENSIONAL $\alpha$-PARA KENMOTSU MANIFOLDS. Konuralp Journal of Mathematics, Volume: 5 Issue: 1. https://ajindex.com/articles/1521840

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