Conformal $\eta$-Ricci solitons within the framework of indefinite Kenmotsu manifolds

The present paper is to deliberate the class of $ϵ$-Kenmotsu manifolds which admits conformal $\eta$-Ricci soliton. Here, we study some special types of Ricci tensor in connection with the conformal $\eta$-Ricci soliton of $ϵ$-Kenmotsu manifolds. Moving further, we investigate some curvature conditions admitting conformal $\eta$-Ricci solitons on $ϵ$-Kenmotsu manifolds. Next, we consider gradient conformal $\eta$-Ricci solitons and we present a characterization of the potential function. Finally, we develop an illustrative example for the existence of conformal $\eta$-Ricci soliton on $ϵ$-Kenmotsu manifold.