2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/165536We show that conformally compact, globally hyperbolic, Lorentzian Einstein-Weyl 3-manifolds are in natural one-to-one correspondence with orientation-reversing diffeomorphisms of the 2-sphere. The proof hinges on a holomorphic-disk analog of Hitchin's mini-twistor correspondence.11 pages, LaTeX2e. Revised version strengthens result and completes proofDifferential GeometryGeneral Relativity and Quantum CosmologyComplex VariablesSymplectic Geometry53C28, 53C50, 32H02, 32Q65text