Study of Kenmotsu manifolds with semi-symmetric metric connection

Authors : Sudhakar Chaubey, Sunil Kr Yadav

Pages : 89-97

Doi:10.32323/ujma.427238

View : 29 | Download : 23

Publication Date : 2018-06-26

Article Type : Research

Abstract :The present paper deals with the study of Kenmotsu manifolds equipped with a semi-symmetric metric connection. The properties of $\eta-$parallel Ricci tensor, globally symmetric and $\phi-$symmetric Kenmotsu manifolds with the semi-symmetric metric connection are evaluated. In the end, we construct an example of a $3-$dimensional Kenmotsu manifold admitting semi-symmetric metric connection and verify our some results.
Keywords : Kenmotsu manifold, $eta-$parallel Ricci tensor, Codazzi type, cyclic parallel Ricci tensors, symmetric spaces, semi-symmetric metric connection