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Journals / Konuralp Journal of Mathematics / 2026 / Volume: 14 Issue: 1

Almost Quasi-Yamabe Soliton and Gradient Almost Quasi-Yamabe Soliton on Generalized Sasakian Space Form

Debadrita Munshi
Soumendu Roy(Vellore Institute of Technology)0000-0003-2236-8482
Jhantu Das(Sidho-Kanho-Birsha University)0000-0001-9202-9692
Halil İbrahim Yoldaş(ADANA SCIENCE AND TECHNOLOGY UNIVERSITY)0000-0002-3238-6484
Pages
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Publication Date
2026-04-30
DOI
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AI Summary & Key Takeaways

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

Next, it is proven that if the metric of a generalized Sasakian space form is a gradient almost quasi-Yamabe soliton, then either the gradient of $\psi$ is pointwise collinear with $\zeta$ or the structure functions are connected by a relation.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:n this paper, we have studied generalized Sasakian space form admitting almost quasi-Yamabe soliton and gradient almost quasi-Yamabe soliton.
📊
Key Findings & Data:It is shown that if a generalized Sasakian space form admits a closed almost quasi-Yamabe soliton, then either soliton vector field is pointwise collinear with $\zeta$ or the structure functions are connected by a relation.
💡
Conclusion & Impact:Next, it is proven that if the metric of a generalized Sasakian space form is a gradient almost quasi-Yamabe soliton, then either the gradient of $\psi$ is pointwise collinear with $\zeta$ or the structure functions are connected by a relation.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:generalized Sasakian space form · almost quasi-Yamabe soli- ton · gradient almost quasi-Yamabe soliton.

Abstract

n this paper, we have studied generalized Sasakian space form admitting almost quasi-Yamabe soliton and gradient almost quasi-Yamabe soliton. It is shown that if a generalized Sasakian space form admits a closed almost quasi-Yamabe soliton, then either soliton vector field is pointwise collinear with $\zeta$ or the structure functions are connected by a relation. Next, it is proven that if the metric of a generalized Sasakian space form is a gradient almost quasi-Yamabe soliton, then either the gradient of $\psi$ is pointwise collinear with $\zeta$ or the structure functions are connected by a relation.

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Cite This Article

Munshi, D., Roy, S., Das, J., Yoldaş, H. İ. (2026). Almost Quasi-Yamabe Soliton and Gradient Almost Quasi-Yamabe Soliton on Generalized Sasakian Space Form. Konuralp Journal of Mathematics, Volume: 14 Issue: 1. https://ajindex.com/articles/1521426

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