Conformal Einstein soliton within the framework of para-K$\ddot{a}$hler manifold

Abstract

The object of the present paper is to study some properties of para-K$\ddot{a}$hler manifold whose metric is conformal Einstein soliton. We have studied some certain curvature properties of para-K$\ddot{a}$hler manifold admitting conformal Einstein soliton.