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Journals / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 50 Issue: 3

A note on almost quasi Yamabe solitons and gradient almost quasi Yamabe solitons

Sujit Ghosh(Krishnagar Government College)0000-0001-5726-8954
U.c. De(University of Calcutta)0000-0002-8990-4609
Ahmet Yıldız(INONU UNIVERSITY)0000-0002-9799-1781
Pages
—
Publication Date
2021-06-07
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AI Summary & Key Takeaways

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

Next we consider gradient almost quasi-Yamabe solitons in a three dimensional Kenmotsu manifold.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this article, we characterize almost quasi-Yamabe solitons and gradient almost quasi-Yamabe solitons in context of three dimensional Kenmotsu manifolds.
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Key Findings & Data:It is proven that if the metric of a three dimensional Kenmotsu manifold admits an almost quasi-Yamabe soliton with soliton vector field $W$ then the manifold is of constant sectional curvature $-1$, but the converse is not true has been shown by a concrete example, under the restriction $\phi W\neq 0$.
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Conclusion & Impact:Next we consider gradient almost quasi-Yamabe solitons in a three dimensional Kenmotsu manifold.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:almost quasi-Yamabe solitons · gradient almost quasi-Yamabe solitons · Kenmotsu manifolds

Abstract

In this article, we characterize almost quasi-Yamabe solitons and gradient almost quasi-Yamabe solitons in context of three dimensional Kenmotsu manifolds. It is proven that if the metric of a three dimensional Kenmotsu manifold admits an almost quasi-Yamabe soliton with soliton vector field $W$ then the manifold is of constant sectional curvature $-1$, but the converse is not true has been shown by a concrete example, under the restriction $\phi W\neq 0$. Next we consider gradient almost quasi-Yamabe solitons in a three dimensional Kenmotsu manifold.

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Cite This Article

Ghosh, S., De, U., Yıldız, A. (2021). A note on almost quasi Yamabe solitons and gradient almost quasi Yamabe solitons. Hacettepe Journal of Mathematics and Statistics, Volume: 50 Issue: 3. https://doi.org/10.15672/hujms.785628

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