English

A note on minimality of foliations for partially hyperbolic diffeomorphisms

Dynamical Systems 2010-06-30 v2

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.

Keywords

Cite

@article{arxiv.math/0602486,
  title  = {A note on minimality of foliations for partially hyperbolic diffeomorphisms},
  author = {Katsutoshi Shinohara},
  journal= {arXiv preprint arXiv:math/0602486},
  year   = {2010}
}

Comments

4 pages

R2 v1 2026-07-22T17:31:51.097Z