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Journals / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 49 Issue: 2

On submanifolds of Kenmotsu manifold with Torqued vector field

Halil İbrahim Yoldaş(MERSIN UNIVERSITY)0000-0002-3238-6484
Şemsi Eken Meriç(MERSIN UNIVERSITY)0000-0003-2783-1149
Erol Yaşar(MERSIN UNIVERSITY)0000-0001-8716-0901
Pages
—
Publication Date
2020-04-02
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AI Summary & Key Takeaways

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⚡ TL;DR(Too Long; Didn't Read)

Finally, we obtain an important characterization which classifies the submanifold $M$ admitting a Ricci soliton of Kenmotsu space form $\tilde M(c)$.

📌 3 Key Takeaways

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Objective & Hypothesis:In this paper, we consider the submanifold $M$ of a Kenmotsu manifold $\tilde M$ endowed with torqued vector field $\mathcal{T}$.
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Key Findings & Data:Also, we study the submanifold $M$ admitting a Ricci soliton of both Kenmotsu manifold $\tilde M$ and Kenmotsu space form $\tilde M(c)$.
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Conclusion & Impact:Finally, we obtain an important characterization which classifies the submanifold $M$ admitting a Ricci soliton of Kenmotsu space form $\tilde M(c)$.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Kenmotsu manifold · Ricci soliton · Torqued vector field

Abstract

In this paper, we consider the submanifold $M$ of a Kenmotsu manifold $\tilde M$ endowed with torqued vector field $\mathcal{T}$. Also, we study the submanifold $M$ admitting a Ricci soliton of both Kenmotsu manifold $\tilde M$ and Kenmotsu space form $\tilde M(c)$. Indeed, we provide some necessary conditions for which such a submanifold $M$ is an $\eta-$Einstein. We have presented some related results and classified. Finally, we obtain an important characterization which classifies the submanifold $M$ admitting a Ricci soliton of Kenmotsu space form $\tilde M(c)$.

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Cite This Article

Yoldaş, H. İ., Meriç, Ş. E., Yaşar, E. (2020). On submanifolds of Kenmotsu manifold with Torqued vector field. Hacettepe Journal of Mathematics and Statistics, Volume: 49 Issue: 2. https://doi.org/10.15672/hujms.479184

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