Global rigidity of holomorphic Riemannian metrics on compact complex 3-manifolds

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/140724We study compact complex 3-manifolds admitting holomorphic Riemannian metrics. We prove a uniformization result: up to a finite unramified cover, such a manifold admits a holomorphic Riemannian metric of constant sectionnal curvature.28 pagesDifferential GeometryComplex Variables53B21;53C56;53A55Global rigidity of holomorphic Riemannian metrics on compact complex 3-manifoldstext