2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/103674We study $3$-dimensional Ricci solitons which project via a semi-conformal mapping to a surface. We reformulate the equations in terms of parameters of the map; this enables us to give an ansatz for constructing solitons in terms of data on the surface. A complete description of the soliton structures on all the $3$-dimensional geometries is given, in particular, non-gradient solitons are found on Nil and Sol.28 pagesDifferential GeometryGeometric Topology57M50; 35Q51text