-contact metric as -conformal Ricci soliton
The aim of this paper is characterize a class of contact metric manifolds admitting -conformal Ricci soliton. It is shown that if a -dimensional -contact metric manifold admits -conformal Ricci soliton or -conformal gradient Ricci soliton, then the manifold M is -Ricci at and locally isometric to the Riemannian of a flat -dimensional manifold and an -dimensional manifold of constant curvature 4 for and flat for . Further, for the first case, the soliton vector field is conformal and for the -gradient case, the potential function is either harmonic or satisfy a Poisson equation. Finally, an example is presented to support the results.