A study of *−Ricci solitons in the framework of trans-Sasakian 3-manifolds

The purpose of this work is to study *-Ricci solitons in trans-Sasakian 3-manifolds. First, *-Ricci solitons in trans-Sasakian 3-manifolds admitting cyclic $\eta-$recurrent Ricci tensor, and the curvature condition $R\cdot Q =0$ are considered. Furthermore, the manifolds admitting *-Ricci solitons obeying certain conditions on the projective curvature tensor are being inspected. Finally, we construct an example of trans-Sasakian 3-manifold and proved that *-Ricci soliton on a trans-Sasakian 3-manifold is steady.