Study of Kenmotsu manifolds with semi-symmetric metric connection

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Universal Journal of Mathematics and Applications
Volume:1 Issue:2
Study of Kenmotsu manifolds with semi-symmetric metric connection

Study of Kenmotsu manifolds with semi-symmetric metric connection

Authors : Sudhakar CHAUBEY, Sunil Kr YADAV

Pages : 89-97

Doi:10.32323/ujma.427238

View : 19 | Download : 17

Publication Date : 2018-06-26

Article Type : Research Paper

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

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