On submanifolds of Kenmotsu manifold with Torqued vector field

Year 2020, Volume: 49 Issue: 2, 843 - 853, 02.04.2020

Halil İbrahim Yoldaş , Şemsi Eken Meriç Erol Yaşar

https://doi.org/10.15672/hujms.479184

Cited By: 3

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 $\tilde M(c)$.

Keywords

Kenmotsu manifold, Ricci soliton, Torqued vector field

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