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Expansive flows on Seifert manifolds and on torus bundles

Expansive flows on Seifert manifolds and on torus bundles We show that any expansive flow on a 3-manifold which is a Seifert fibration or a torus bundle overS 1 is topologically equivalent to a transitive Anosov flow. This is achieved by analyzing the trace of the stable foliation (with singularities) of the flow on incompressible tori embedded in such a manifold. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Bulletin of the Brazilian Mathematical Society, New Series Springer Journals

Expansive flows on Seifert manifolds and on torus bundles

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References (9)

Publisher
Springer Journals
Copyright
Copyright © 1993 by Sociedade Brasileira de Matemática
Subject
Mathematics; Mathematics, general; Theoretical, Mathematical and Computational Physics
ISSN
1678-7544
eISSN
1678-7714
DOI
10.1007/BF01231697
Publisher site
See Article on Publisher Site

Abstract

We show that any expansive flow on a 3-manifold which is a Seifert fibration or a torus bundle overS 1 is topologically equivalent to a transitive Anosov flow. This is achieved by analyzing the trace of the stable foliation (with singularities) of the flow on incompressible tori embedded in such a manifold.

Journal

Bulletin of the Brazilian Mathematical Society, New SeriesSpringer Journals

Published: Feb 11, 2005

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