* -Ricci solitons on ε-para sasakian 3-manifolds

Abstract

In the present paper we study *-Ricci solitons in (Є)–para Sasakian manifolds and prove that if an (Є)-para Sasakian 3-manifold with constant scalar curvature admits a *-Ricci soliton, then the *-Ricci soliton is steady if and only if ℒ_Vξ is g-orthogonal to ξ provided a =Trϕ is constant. Beside these, we study gradient *-Ricci solitons on (Є) –para Sasakian 3-manifolds.