On submanifolds of Kenmotsu manifold with Torqued vector field

Temel Bulgular & Veri: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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Sonuç & Katkı:Finally, we obtain an important characterization which classifies the submanifold $M$ admitting a Ricci soliton of Kenmotsu space form $\tilde M(c)$.

🔬Tür:Araştırma Makalesi

📍Kapsam:Genişletilmiş Akademik Örneklem

⚙️Değişkenler: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 $\tilde M(c)$.

Anahtar kelimeler

Kenmotsu manifold Ricci soliton Torqued vector field

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Bu Makaleye Atıf Yap

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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