Study of Kenmotsu manifolds with semi-symmetric metric connection

Year 2018, Volume: 1 Issue: 2, 89 - 97, 26.06.2018

Sudhakar Chaubey Sunil Kr Yadav

https://doi.org/10.32323/ujma.427238

Cited By: 2

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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