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Vector fields with transverse foliations, II

Published online by Cambridge University Press:  19 September 2008

Sue Goodman
Sue Goodman
Affiliation:
Department of Mathematics, University of North Carolina, Chapel Hill, NC 27514, USA
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Abstract

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When does a non-singular flow on a 3-manifold have a 2-dimensional foliation everywhere transverse to it? A complete answer is given for a large class of flows, those with 1-dimensional hyperbolic chain recurrent set. We find a simple necessary and sufficient condition on the linking of periodic orbits of the flow.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 6 , Issue 2 , June 1986 , pp. 193 - 203
Copyright
Copyright © Cambridge University Press 1986

References

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