On ∈-Kenmotsu 3-manifolds admitting *-conformal η-Ricci solitons.

In the present paper we study ∈-Kenmotsu 3-manifolds admitting *-conformal η-Ricci solitons. Besides, we study gradient *-conformal η-Ricci solitons on ∈-Kenmotsu 3-manifolds and prove that a gradient *-conformal η-Ricci soliton on an ∈-Kenmotsu 3-manifold is *-conformal η-Einstein if and only if ξf = 0. Finally, the existence of *-conformal η-Ricci soliton in an ∈-Kenmotsu 3-manifold has been proved by a concrete example. [ABSTRACT FROM AUTHOR]