A Note on Yamabe Solitons on 3-dimensional Almost Kenmotsu Manifolds with $\: \textbf{Q}\phi=\phi \textbf{Q}$

Year 2023, Volume: 16 Issue: 1, 196 - 200, 30.04.2023

Gopal Ghosh

https://doi.org/10.36890/iejg.1239222

Abstract

In the present paper, we prove that if the metric of a three dimensional almost Kenmotsu manifold with $\textbf{Q}\phi=\phi \textbf{Q}$ whose scalar curvature remains invariant under the chracterstic vector field $\zeta$, admits a non-trivial Yamabe solitons, then the manifold is of constant sectional curvature or the manifold is Ricci simple.

Keywords

Yamabe solitons, almost Kenmotsu manifolds, sectional curvature

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