Abstract
The object of the present paper is to characterize 3-dimensional trans- Sasakian manifolds admitting *-Ricci solitons. First, 3-dimensional trans-Sasakian manifolds admitting *-Ricci solitons satisfying the conditions R(xi, .) . S, S(xi, .) . R = 0 and Q . R = 0 are studied. Further, 3-dimensional manifolds admitting *-Ricci solitons satisfying certain conditions on the projective curvature tensor are considered and obtained several interesting results. Finally, the existence of *-Ricci solitons in a 3-dimensional trans-Sasakian manifold has been proved by a concrete example.