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Journals / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 52 Issue: 4

Geometry of $\ast$-$k$-Ricci-Yamabe soliton and gradient $\ast$-$k$-Ricci-Yamabe soliton on Kenmotsu manifolds

Santu Dey(Bidhan Chandra College Asansol-4)0000-0002-2601-3788
Pişcoran Laurian-ioan Laurian-ıoan(Technical University of Cluj Napoca)0000-0003-2269-718X
Soumendu Roy(School of Advanced Sciences)0000-0003-2236-8482
Pages
—
Publication Date
2023-08-15
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AI Summary & Key Takeaways

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

We have developed an example of a $\ast$-$k$-Ricci-Yamabe soliton on a 5-dimensional Kenmotsu manifold to prove our findings.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The goal of the current paper is to characterize the $\ast$-$k$-Ricci-Yamabe soliton within the framework on Kenmotsu manifolds.
📊
Key Findings & Data:Then, we studied the gradient $\ast$-$k$-Ricci-Yamabe soliton to yield the nature of the Riemannian curvature tensor.
💡
Conclusion & Impact:We have developed an example of a $\ast$-$k$-Ricci-Yamabe soliton on a 5-dimensional Kenmotsu manifold to prove our findings.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Ricci-Yamabe soliton · *-k-Ricci-Yamabe soliton · gradient *-k-Ricci-Yamabe soliton

Abstract

The goal of the current paper is to characterize the $\ast$-$k$-Ricci-Yamabe soliton within the framework on Kenmotsu manifolds. Here, we have shown the nature of the soliton and found the scalar curvature when the manifold admits the $\ast$-$k$-Ricci-Yamabe soliton on the Kenmotsu manifold. Next, we have evolved the characterization of the vector field when the manifold satisfies the $\ast$-$k$-Ricci-Yamabe solitons. Also we have embellished some applications of vector field as torse-forming in terms of $\ast$-$k$-Ricci-Yamabe soliton on Kenmotsu manifold. Then, we studied the gradient $\ast$-$k$-Ricci-Yamabe soliton to yield the nature of the Riemannian curvature tensor. We have developed an example of a $\ast$-$k$-Ricci-Yamabe soliton on a 5-dimensional Kenmotsu manifold to prove our findings.

🔖

Cite This Article

Dey, S., Laurian-ıoan, P. L., Roy, S. (2023). Geometry of $\ast$-$k$-Ricci-Yamabe soliton and gradient $\ast$-$k$-Ricci-Yamabe soliton on Kenmotsu manifolds. Hacettepe Journal of Mathematics and Statistics, Volume: 52 Issue: 4. https://doi.org/10.15672/hujms.1074722

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