Abstract
In this paper, we study eta-Ricci solitons on epsilon-LP-Sasakian manifolds with a quarter-symmetric metric connection satisfying certain curvature conditions. In particular, we have discussed that the Ricci soliton on epsilon - LP-Sasakian manifolds with a quarter-symmetric metric connection satisfying certain curvature conditions is expanding or steady according to the vector field xi being timelike or spacelike. Moreover, we construct 3-dimensional examples of an epsilon-LP-Sasakian manifold with a quarter-symmetric metric connection to verify some results of the paper.