- Hacettepe Journal of Mathematics and Statistics
- Vol: 50 Issue: 3
- A note on almost quasi Yamabe solitons and gradient almost quasi Yamabe solitons
A note on almost quasi Yamabe solitons and gradient almost quasi Yamabe solitons
Authors : Sujit Ghosh, U. C. De, Ahmet Yildiz
Pages : 770-777
Doi:10.15672/hujms.785628
View : 11 | Download : 4
Publication Date : 2021-06-07
Article Type : Research
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