2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/112812We show that any contact form whose Fefferman metric admits a nonzero parallel vector field is pseudo-Einstein of constant pseudohermitian scalar curvature. As an application we compute the curvature groups of the total space of the canonical circle bundle over a CR manifold.10 pagesDifferential Geometry53C56; 32V20On the curvature groups of a CR manifoldtext