Characteristic classes of foliations preserved by a transverse k-field.
Grzegorz Andrzejczak (1984)
Banach Center Publications
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Displaying similar documents to “Bilipschitz invariance of the first transverse characteristic map”
Characteristic classes of foliations preserved by a transverse k-field.
-foliations and Weil prolongations
Pogoda, Zdzisław
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Localization of basic characteristic classes
Dirk Töben (2014)
Annales de l’institut Fourier
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We introduce basic characteristic classes and numbers as new invariants for Riemannian foliations. If the ambient Riemannian manifold is complete, simply connected (or more generally if the foliation is a transversely orientable Killing foliation) and if the space of leaf closures is compact, then the basic characteristic numbers are determined by the infinitesimal dynamical behavior of the foliation at the union of its closed leaves. In fact, they can be computed with an Atiyah-Bott-Berline-Vergne-type...
On transverse foliations
Atsushi Sato, Itiro Tamura (1981)
Publications Mathématiques de l'IHÉS
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Foliations admitting transverse systems of differential equations
Robert Wolak (1988)
Compositio Mathematica
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A foliation of and other punctured 3-manifolds by circles
Elmar Vogt (1989)
Publications Mathématiques de l'IHÉS
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Foliated and associated geometric structures on foliated manifolds
Robert A. Wolak (1989)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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On G-foliations
Robert Wolak (1985)
Annales Polonici Mathematici
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Leaves of foliations with a transverse geometric structure of finite type.
Robert A. Wolak (1989)
Publicacions Matemàtiques
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In this short note we find some conditions which ensure that a G foliation of finite type with all leaves compact is a Riemannian foliation of equivalently the space of leaves of such a foliation is a Satake manifold. A particular attention is paid to transversaly affine foliations. We present several conditions which ensure completeness of such foliations.