Foliations transverse to fibers of Seifert manifolds.
Foliations with all leaves compact
The notion of the “volume" of a leaf in a foliated space is defined. If is a compact leaf, then any leaf entering a small neighbourhood of either has a very large volume, or a volume which is approximatively an integral multiple of the volume of . If all leaves are compact there are three related objects to study. Firstly the topology of the quotient space obtained by identifying each leaf to a point ; secondly the holonomy of a leaf ; and thirdly whether the leaves have a locally bounded volume....
Foliations with complex leaves
Let be a smooth foliation with complex leaves and let be the sheaf of germs of smooth functions, holomorphic along the leaves. We study the ringed space . In particular we concentrate on the following two themes: function theory for the algebra and cohomology with values in .
Foliations with few non-compact leaves.
Forme canonique sur le dual du fibré transverse
Formes Différentielles de Degré 1 Fermées Non Singulières: Classes d'Homotopie de leurs Noyaux
Formules pour la multiplicité et le nombre de Milnor d’un feuilletage sur