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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Displaying similar documents to “-foliations and Weil prolongations”
Foliated and associated geometric structures on foliated manifolds
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.
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)
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On transverse foliations
Atsushi Sato, Itiro Tamura (1981)
Publications Mathématiques de l'IHÉS
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A note on codimension-1 foliations
Carlo Petronio (1999)
Rendiconti del Seminario Matematico della Università di Padova
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Tischler fibrations of open foliated sets
John Cantwell, Lawrence Conlon (1981)
Annales de l'institut Fourier
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Let be a closed, foliated manifold, and let be an open, connected, saturated subset that is a union of locally dense leaves without holonomy. Supplementary conditions are given under which admits an approximating (Tischler) fibration over . If the fibration exists, conditions under which the original leaves are regular coverings of the fibers are studied also. Examples are given to show that our supplementary conditions are generally required.