Some Results on Generalized Sasakian Space Forms Admitting Almost Quasi-Yamabe Solitons.

In 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 ζ or the structure functions are connected by a relation and the manifold becomes Ricci semi-symmetric generalized Sasakian space form. 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 ψ is pointwise collinear with ζ or the structure functions are connected by a relation. [ABSTRACT FROM AUTHOR]