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Journals / Ikonion Journal of Mathematics / 2026 / Volume: 8 Issue: 1

On Lorentzian $\beta$-{K}enmotsu manifolds admitting Schouten-van Kampen connection

Gyanvendra Pratap Singh(Deen Dayal Upadhyaya Gorakhpur University, Gorakhpur)0009-0000-2155-7180
Pawan Prajapatı(Deen Dayal Upadhyaya Gorakhpur University, Gorakhpur)0000-0002-3678-0710
Abdul Haseeb(Jazan University, Jazan 2097, Saudi Arabia)0000-0002-1175-6423
Pages
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Publication Date
2026-07-16
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AI Summary & Key Takeaways

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⚡ TL;DR(Too Long; Didn't Read)

Finally, we have given an example of $\mathcal M_\beta$ admitting a SVKC which verifies some of our results.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The present article aims to study the Lorentzian $\beta$-{K}enmotsu manifolds ($\mathcal M_\beta$) admitting the Schouten-van Kampen connection (in brief, SVKC).
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Key Findings & Data:Also, we study $\mathcal M_\beta$ admitting the SVKC satisfying $\widetilde{C} \cdot \widetilde{S}=0$.
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Conclusion & Impact:Finally, we have given an example of $\mathcal M_\beta$ admitting a SVKC which verifies some of our results.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Lorentzian $\beta$-{K}enmotsu manifolds · concircular curvature tensor · Schouten-van Kampen connection

Abstract

The present article aims to study the Lorentzian $\beta$-{K}enmotsu manifolds ($\mathcal M_\beta$) admitting the Schouten-van Kampen connection (in brief, SVKC). We study $\mathcal M_\beta$ satisfying $\zeta$-concircularly flat and $\varphi$-concircularly flat conditions admitting SVKC. Also, we study $\mathcal M_\beta$ admitting the SVKC satisfying $\widetilde{C} \cdot \widetilde{S}=0$. We also deal the locally $\varphi$-Ricci symmetric $\mathcal M_\beta$ with respect to the SVKC. Further, we discussed almost Ricci solitons on $\mathcal M_\beta$ admitting SVKC. Finally, we have given an example of $\mathcal M_\beta$ admitting a SVKC which verifies some of our results.

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Cite This Article

Singh, G. P., Prajapatı, P., Haseeb, A. (2026). On Lorentzian $\beta$-{K}enmotsu manifolds admitting Schouten-van Kampen connection. Ikonion Journal of Mathematics, Volume: 8 Issue: 1. https://doi.org/10.54286/ikjm.1811009

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