Le graphe d'un feuilletage admettant un système transverse d'équations différentielles. (The graph of a foliation admitting a transverse system of differential equations)
The graph of a foliation of dimension p and codimension q on a connected manifold M admitting a transverse system of differential equations is investigated. It is proved that in this case the graph is a Hausdorff manifold and that it is a locally trivial fibre bundle over the manifold M. The main theorem is a generalization of H. Winkelnkemper's theorem on graphs and at the same time the proof is much simpler.
transverse system of differential equations
scientific article; zbMATH DE number 4052603
scientific article