A note on codimension-1 foliations
Carlo Petronio (1999)
Rendiconti del Seminario Matematico della Università di Padova
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Displaying similar documents to “On regular foliations”
A note on codimension-1 foliations
Some properties of foliations
Richard Sacksteder (1964)
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Leaves of foliations with a transverse geometric structure of finite type.
Robert A. Wolak (1989)
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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.
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Vogt, Elmar (2002)
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A foliation of and other punctured 3-manifolds by circles
Elmar Vogt (1989)
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Smoothability of proper foliations
John Cantwell, Lawrence Conlon (1988)
Annales de l'institut Fourier
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Compact, -foliated manifolds of codimension one, having all leaves proper, are shown to be -smoothable. More precisely, such a foliated manifold is homeomorphic to one of class . The corresponding statement is false for foliations with nonproper leaves. In that case, there are topological distinctions between smoothness of class and of class for every nonnegative integer .
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.