2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/222813Compact flat surfaces of homogeneous Riemannian 3-manifolds with isometry group of dimension 4 are classified. Non-existence results for compact constant Gauss curvature surfaces in these 3-manifolds are established.7 pagesDifferential Geometry53C42, 53C30On the Gauss curvature of compact surfaces in homogeneous 3-manifoldstext