2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/158507We consider when a smooth vector bundle endowed with a connection possesses non-trivial, local parallel sections. This is accomplished by means of a derived flag of subsets of the bundle. The procedure is algebraic and rests upon the Frobenius Theorem.8 pagesDifferential Geometry53C05text