Korean J. Math. Vol. 30 No. 1 (2022) pp.1-10
DOI: https://doi.org/10.11568/kjm.2022.30.1.1

Certain results on three-dimensional $f$-Kenmotsu manifolds with conformal Ricci solitons

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Published: Mar 30, 2022
Keywords:
$f$-Kenmotsu manifold, conformal Ricci soliton, $\phi$-Ricci symmetry, $\eta$-parallel, cyclic parallel, second order parallel tensor.
Mathematics Subject Classification:
53C15, 53D25.

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Tarak Mandal
Department of Mathematics, Jangipur College, Murshidabad Pin-742213, West Bengal, India.

Abstract

In the present paper, we have studied conformal Ricci solitons on $f$-Kenmotsu manifolds of dimension three. Also we have studied $\phi$-Ricci symmetry, $\eta$-parallel Ricci tensor, cyclic parallel Ricci tensor and second order parallel tensor in $f$-Kenmotsu manifolds of dimension three admitting conformal Ricci solitons. Finally, we give an example.


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