Foliations with few non-compact leaves.
Vogt, Elmar (2002)
Algebraic & Geometric Topology
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Vogt, Elmar (2002)
Algebraic & Geometric Topology
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Adachi, Jiro (2002)
Algebraic & Geometric Topology
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Elmar Vogt (1989)
Publications Mathématiques de l'IHÉS
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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.
Carlo Petronio (1999)
Rendiconti del Seminario Matematico della Università di Padova
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Richard Sacksteder (1964)
Annales de l'institut Fourier
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Atsushi Sato, Itiro Tamura (1981)
Publications Mathématiques de l'IHÉS
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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 .
Enrique Vidal (1967)
Annales de l'institut Fourier
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Étant donné un feuilletage sur une variété différentiable, on établit quelques propriétés équivalentes au fait que le feuilletage soit régulier, et l’on déduit deux conséquences en établissant un rapport entre les propriétés du feuilletage et les propriétés des formes différentielles qui le définissent.