Partial hyperbolicity on 3-dimensional nilmanifolds

2011/03/18 by Andy Hammerlindl, Hammerlindl, Andy
Mathematics · Physics and Astronomy · #37D30 #Dynamical Systems (math.DS) #FOS: Mathematics #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals #Quantum chaos and dynamical systems

paper · pdf · doi:10.48550/arxiv.1103.3724

openalex publication_date 2011/03/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Every partially hyperbolic diffeomorphism on a 3-dimensional nilmanifold is leaf conjugate to a nilmanifold automorphism.

Related

• Partially hyperbolic diffeomorphisms homotopic to the identity on\n 3-manifolds
• Dynamical coherence of partially hyperbolic diffeomorphisms on nilmanifolds isotopic to Anosov
• Ergodicity and partial hyperbolicity on the 3-torus
• Partially hyperbolic lattice actions on 2-step nilmanifolds
• What an infra-nilmanifold endomorphism really should be