On the existence of exceptional leaves in foliations of co-dimension one
Richard Sacksteder (1964)
Annales de l'institut Fourier
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Exemples d’une structure feuilletée de co-dimension un, de classe , dont une feuille est exceptionnelle.
Displaying similar documents to “Foliations of surfaces I : an ideal boundary”
On the existence of exceptional leaves in foliations of co-dimension one
Taut foliations of 3-manifolds and suspensions of
David Gabai (1992)
Annales de l'institut Fourier
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Let be a compact oriented 3-manifold whose boundary contains a single torus and let be a taut foliation on whose restriction to has a Reeb component. The main technical result of the paper, asserts that if is obtained by Dehn filling along any curve not parallel to the Reeb component, then has a taut foliation.
A foliation of and other punctured 3-manifolds by circles
Elmar Vogt (1989)
Publications Mathématiques de l'IHÉS
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On transverse foliations
Atsushi Sato, Itiro Tamura (1981)
Publications Mathématiques de l'IHÉS
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Limit sets of foliations
Richard Sacksteder, Art J. Schwartz (1965)
Annales de l'institut Fourier
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Soit une variété munie d’une structure feuilletée de co-dimension un. On démontre plusieurs théorème relatifs à des conditions entraînant que le groupe d’holonomie et le pseudo-groupe d’holonomie d’une certaine feuille est infini.
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 .