A note on almost quasi Yamabe solitons and gradient almost quasi Yamabe solitons

Year 2021, Volume: 50 Issue: 3, 770 - 777, 07.06.2021

Sujit Ghosh , U.c. De , Ahmet Yıldız

https://doi.org/10.15672/hujms.785628

Cited By: 4

https://izlik.org/JA67CA22KD

Abstract

In this article, we characterize almost quasi-Yamabe solitons and gradient almost quasi-Yamabe solitons in context of three dimensional Kenmotsu manifolds. It is proven that if the metric of a three dimensional Kenmotsu manifold admits an almost quasi-Yamabe soliton with soliton vector field $W$ then the manifold is of constant sectional curvature $-1$, but the converse is not true has been shown by a concrete example, under the restriction $\phi W\neq 0$. Next we consider gradient almost quasi-Yamabe solitons in a three dimensional Kenmotsu manifold.

Keywords

almost quasi-Yamabe solitons , gradient almost quasi-Yamabe solitons , Kenmotsu manifolds

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