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Journals / Hacettepe Journal of Mathematics and Statistics / 2020 / Cilt: 49 - Sayı: 2

On submanifolds of Kenmotsu manifold with Torqued vector field

Halil İbrahim Yoldaş
Erol YAŞAR
Şemsi Eken Meriç
Pages
843–853
Publication Date
2022-10-18
DOI
—
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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

🎯
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., YAŞAR, E., Meriç, Ş. E. (2022). On submanifolds of Kenmotsu manifold with Torqued vector field. Hacettepe Journal of Mathematics and Statistics, Cilt: 49 - Sayı: 2, 843–853. https://ajindex.com/articles/529663

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