Displaying similar documents to “Taut foliations of 3-manifolds and suspensions of S 1 ”

Smoothability of proper foliations

John Cantwell, Lawrence Conlon (1988)

Annales de l'institut Fourier

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Compact, C 2 -foliated manifolds of codimension one, having all leaves proper, are shown to be C ∞ -smoothable. More precisely, such a foliated manifold is homeomorphic to one of class C ∞ . The corresponding statement is false for foliations with nonproper leaves. In that case, there are topological distinctions between smoothness of class C r and of class C r + 1 for every nonnegative integer r .

Regular projectively Anosov flows with compact leaves

Takeo Noda (2004)

Annales de l’institut Fourier

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This paper concerns projectively Anosov flows φ t with smooth stable and unstable foliations ℱ s and ℱ u on a Seifert manifold M . We show that if the foliation ℱ s or ℱ u contains a compact leaf, then the flow φ t is decomposed into a finite union of models which are defined on T 2 × I and bounded by compact leaves, and therefore the manifold M is homeomorphic to the 3-torus. In the proof, we also obtain a theorem which classifies codimension one foliations on Seifert manifolds with compact leaves which...

Limit sets of foliations

Richard Sacksteder, Art J. Schwartz (1965)

Annales de l'institut Fourier

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Soit V 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 F ⊂ V est infini.