$*$-Ricci-Yamabe soliton on Kenmotsu manifold with torse forming potential vector field

Abstract

The goal of the present paper is to deliberate $*$-Ricci-Yamabe soliton, whose potential vector field is torse-forming on the Kenmotsu manifold. Here, we have shown the nature of the soliton and found the scalar curvature when the manifold admitting $*$-Ricci-Yamabe soliton on the Kenmotsu manifold. Next, we have evolved the characterization of the vector field when the manifold satisfies $*$-Ricci-Yamabe soliton. Also, we have embellished some applications of a vector field as torse-forming in terms of $*$-Ricci-Yamabe soliton on the Kenmotsu manifold. We have developed an example of $*$-Ricci-Yamabe soliton on $3$-dimensional Kenmotsu manifold to prove our findings.