Vector fields with transverse foliations, II

Author:

Goodman Sue

Abstract

AbstractWhen 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.

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics,General Mathematics

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1. Detecting when a nonsingular flow is transverse to a foliation;Pacific Journal of Mathematics;2011-03-01

2. Modifying a branched surface to carry a foliation;Topology and its Applications;2007-08

3. The topology and dynamics of flows;Open Problems in Topology II;2007

4. Stability of quasi-transversal bifurcation of vector fields on 3-manifolds;Nonlinearity;1996-07-01

5. The set of vector fields with transverse foliations;Journal of the Mathematical Society of Japan;1993-01-01

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