The goal of the paper is to deliberate conformal Ricci soliton and *-conformal within framework paracontact geometry. Here we prove that if an ?-Einstein para-Kenmotsu manifold admits soliton, then it Einstein. Further have shown 3-dimensional para-cosymplectic flat satisfies where vector field conformal. We also constructed some examples verify our results.

We determine a new class of paracontact paracomplex Riemannian manifolds derived from certain cone construction, called para-Sasaki-like manifolds, and give explicit examples. define hyperbolic extension paraholomorphic manifold, which is local product two spaces equal dimension, show that it manifold. If the original manifold complete Einstein space negative scalar curvature, then its curvatur...