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A note on minimality of foliations for partially hyperbolic diffeomorphisms

Katsutoshi Shinohara
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Abstract

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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Katsutoshi Shinohara. 2006-02-22. A note on minimality of foliations for partially hyperbolic diffeomorphisms. https://arxiv.org/abs/math/0602486

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