ON KENMOTSU MANIFOLDS WITH SEMI-SYMMETRIC METRIC CONNECTION

Sunil Yadav, Sudhakar Kr Chaubey, Rajendra Prasad

DOI Number
https://doi.org/10.22190/FUMI2001101Y
First page
101
Last page
119

Abstract


The aim of the present paper is to study the properties of locally and globally $\phi$-concircularly symmetric Kenmotsu manifolds endowed with a semi-symmetric metric connection. First, we will prove that the locally $\phi$-symmetric and the globally $\phi$-concircularly symmetric Kenmotsu manifolds are equivalent. Next, we will study three dimensional locally $\phi$-symmetric, locally $\phi$-concircularly symmetric and locally $\phi$-concircularly recurrent Kenmotsu manifolds with respect to such connection and will obtain some geometrical results. In the end, we will construct a non-trivial example of Kenmotsu manifold admitting a semi-symmetric metric connection and validate our results.  

Keywords

Kenmotsu manifolds, $\phi$-symmetric manifolds, $\eta$-parallel Ricci tensor, semi-symmetric metric connection, concircular curvature tensor.

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References


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DOI: https://doi.org/10.22190/FUMI2001101Y

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