Almost Quasi-Yamabe Soliton and Gradient Almost Quasi-Yamabe Soliton on Generalized Sasakian Space Form

Abstract

n this paper, we have studied generalized Sasakian space form admitting almost quasi-Yamabe soliton and gradient almost quasi-Yamabe soliton. It is shown that if a generalized Sasakian space form admits a closed almost quasi-Yamabe soliton, then either soliton vector field is pointwise collinear with $\zeta$ or the structure functions are connected by a relation. Next, it is proven that if the metric of a generalized Sasakian space form is a gradient almost quasi-Yamabe soliton, then either the gradient of $\psi$ is pointwise collinear with $\zeta$ or the structure functions are connected by a relation.

Keywords

• generalized Sasakian space form
• almost quasi-Yamabe soli- ton
• gradient almost quasi-Yamabe soliton.

Supporting Institution

Vellore Institute of Technology Chennai

Thanks

The author Jhantu Das is thankful to the Council of Scientific and Industrial Research, India (File no: 09/1156(0012)/2018- EMR-I) for their assistance.

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