Three-dimensional nonunimodular Lie groups with a Riemannian metric of an invariant Ricci soliton and a semi-symmetric metric connection

In this paper, we consider invariant Ricci solitons on three-dimensional nonunimodular Lie groups with a left-invariant Riemannian metric and a semi-symmetric connection. It is shown that there are nontrivial solutions of the Ricci soliton equation on such Lie groups, and their complete classification is obtained.