Investigation of $\ast$-Yamabe conformal soliton on LP-Kenmotsu manifolds

Abstract

The primary objective of this paper is to examine the $\ast$-Yamabe conformal soliton, which exhibits a potential vector field that is torse-forming on a Lorentzian Para(LP)-Kenmotsu manifold. Next, we examine the characteristics of the scalar curvature for $\ast$-Yamabe conformal soliton on the LP-Kenmotsu manifold. The development of the description of the vector field in the context of the $\ast$-Yamabe conformal soliton has been undertaken. Furthermore, we have improved multiple applications of vector fields, specifically the formation of torse on a LP-Kenmotsu manifold, by utilizing a $\ast$-Yamabe conformal soliton. At last, we also provide an example for $\ast$-Yamabe conformal soliton on three-dimensional LP-Kenmotsu manifold.