Foliations with few non-compact leaves.
Vogt, Elmar (2002)
Algebraic & Geometric Topology
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Displaying similar documents to “Smoothability of proper foliations”
Foliations with few non-compact leaves.
On transverse foliations
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Taut foliations of 3-manifolds and suspensions of
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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.
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Limit sets of foliations
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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.
Foliations with all leaves compact
D. B. A. Epstein (1976)
Annales de l'institut Fourier
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The notion of the “volume" of a leaf in a foliated space is defined. If is a compact leaf, then any leaf entering a small neighbourhood of either has a very large volume, or a volume which is approximatively an integral multiple of the volume of . If all leaves are compact there are three related objects to study. Firstly the topology of the quotient space obtained by identifying each leaf to a point ; secondly the holonomy of a leaf ; and thirdly whether the leaves have a locally...
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.