2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/62256We give a new construction of Ricci-flat self-dual metrics which is a natural extension of the Gibbons--Hawking ansatz. We also give characterisations of both these constructions, and explain how they come from harmonic morphisms.17 pages, Latex 2eDifferential Geometry58E20 (Primary), 53C43 (Secondary)A new construction of Einstein self-dual metricstext