Le graphe d'un feuilletage admettant un système transverse d'équations différentielles. (The graph of a foliation admitting a transverse system of differential equations)
type: Item
instance of: scholarly article
title: Le graphe d'un feuilletage admettant un système transverse d'équations différentielles. (The graph of a foliation admitting a transverse system of differential equations)
zbMATH Open document ID: 0645.57022
DOI: 10.1007/BF01160675
author: Robert A. Wolak
published in: Mathematische Zeitschrift
publication date: 1989-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/174045
review text: 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.
reviewed by: Robert A. Wolak
Mathematics Subject Classification ID: 57R30
zbMATH DE Number: 4052603
zbMATH Keywords: graph of a foliation
zbMATH Keywords: transverse system of differential equations
zbMATH Keywords: Hausdorff manifold
MaRDI profile type: Publication
cites work: Q3675223
cites work: The graph of a foliation
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description: scientific article; zbMATH DE number 4052603