2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/170867Let (M,g) be a Riemannian 4-manifold. The twistor space Z->M is a CP1-bundle whose total space Z admits a natural metric h. The aim of this article is to study properties of complex structures on (Z,h) which are compatible with the CP1-fibration and the metric h. The results obtained enable us to translate some metric properties on M in terms of complex properties on its twistor space Z.23 pagesDifferential GeometryComplex VariablesCompatible Complex Structures on Twistor Spacestext