On submanifolds of Kenmotsu manifold with Torqued vector field

Authors : Halil İbrahim YOLDAŞ, Şemsi Eken meriç, Erol YAŞAR

Pages : 843-853

Doi:10.15672/hujms.479184

View : 27 | Download : 7

Publication Date : 2020-04-02

Article Type : Research Paper

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 $\tilde Minsert ignore into journalissuearticles values(c);$. 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 $\tilde Minsert ignore into journalissuearticles values(c);$.
Keywords : Kenmotsu manifold, Ricci soliton, Torqued vector field