$$*$$-Conformal $$\eta $$-Ricci soliton within the framework of Kenmotsu manifolds

The goal of our present paper is to deliberate ∗-conformal η-Ricci soliton within the framework of Kenmotsu manifolds. Here we show that a Kenmotsu metric as a ∗-conformal η-Ricci soliton is Einstein metric if the soliton vector field is contact. Further, we evolve the characterization of the Kenmotsu manifold or the nature of
the potential vector field when the manifold satisfies gradient almost ∗-conformal η Ricci soliton. Next, we contrive ∗-conformal η-Ricci soliton admitting (κ,μ)-almost Kenmotsumanifold andprovethat the manifold is Ricci flat and is locally isometric to
Hn+1(−4)×Rn. Finally we construct some examples to illustrate the existence of ∗ conformal η-Ricci soliton, gradient almost ∗-conformal η-Ricci soliton on Kenmotsu manifold and (κ,μ)-almost Kenmotsu manifold.