2006/02/22 by Katsutoshi Shinohara, Shinohara, Katsutoshi
Mathematics · Physics and Astronomy · #37D30 #Advanced Differential Equations and Dynamical Systems #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #Quantum chaos and dynamical systems #math.DS #msc:37D30
paper · pdf · doi:10.48550/arxiv.math/0602486
4 pages
openalex publication_date 2006/02/22 · arxiv created 2010/06/29 · arxiv updated 2010/06/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.