A note on minimality of foliations for partially hyperbolic diffeomorphisms

Details A note on minimality of foliations for partially hyperbolic diffeomorphisms A note on minimality of foliations for partially hyperbolic diffeomorphisms

2006-02-22

arxiv.org/abs/math/0602486v2

Mathematics

Dynamical Systems

4 pages

Scientific paper

It was shown that in robustly transitive, partially hyperbolic
diffeomorphisms on three dimensional closed manifolds, the strong stable or
unstable foliation is minimal. In this article, we prove ``almost all'' leaves
of both stable and unstable foliations are dense in the whole manifold.

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