2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/59636For a vector field $X$ on a smooth manifold $M$ there exists a smooth but not necessarily Hausdorff manifold $M_\Bbb R$ and a complete vector field $X_\Bbb R$ on it which is the universal completion of $(M,X)$.AmS-TeX, 3 pages, 4 eps filesDifferential Geometry37C10, 57R30The flow completion of a manifold with vector fieldtext