On the Structure of Foliated 3-Manifolds Separated by a Compact Leaf
S. Goodman (1977)
Inventiones mathematicae
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S. Goodman (1977)
Inventiones mathematicae
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Takeo Noda (2000)
Annales de l'institut Fourier
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We consider projectively Anosov flows with differentiable stable and unstable foliations. We characterize the flows on which can be extended on a neighbourhood of into a projectively Anosov flow so that is a compact leaf of the stable foliation. Furthermore, to realize this extension on an arbitrary closed 3-manifold, the topology of this manifold plays an essential role. Thus, we give the classification of projectively Anosov flows on . In this case, the only flows on which...
Takeo Noda (2004)
Annales de l’institut Fourier
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This paper concerns projectively Anosov flows with smooth stable and unstable foliations and on a Seifert manifold . We show that if the foliation or contains a compact leaf, then the flow is decomposed into a finite union of models which are defined on and bounded by compact leaves, and therefore the manifold 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...
Elmar Vogt (1977)
Mathematische Zeitschrift
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S. Hurder, Anatoly Katok (1990)
Publications Mathématiques de l'IHÉS
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J.F. Plante (1979)
Inventiones mathematicae
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Dennis Sullivan (1976)
Inventiones mathematicae
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Alan H. Durfee, H. Blaine Jr. Lwason (1972)
Inventiones mathematicae
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