Transitivity of codimension-one Anosov actions of ℝk on closed manifolds

DOI10.1017/S0143385709001023zbMath1213.37049arXiv0807.2367MaRDI QIDQ3074743

Thierry Barbot, Carlos Maquera

Publication date: 10 February 2011

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0807.2367

zbMATH Keywords

topological transitivityspectral decompositiondense orbitnormally hyperbolicunstable foliationorbit foliationAnosov actioncodimension one

Mathematics Subject Classification ID

Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Foliations in differential topology; geometric theory (57R30)

Related Items (6)

The centralizer of Komuro-expansive flows and expansive \({{\mathbb {R}}}^d\) actions ⋮ Nil-Anosov actions ⋮ On codimension one special Anosov endomorphisms ⋮ Anosov actions of nilpotent Lie groups ⋮ Unnamed Item ⋮ A \(\lambda \)-lemma for foliations

Cites Work

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• Open manifolds foliated by planes
• Differentiable rigidity of Fuchsian groups
• First cohomology of Anosov actions of higher rank abelian groups and applications to rigidity
• Anosov flows, surface groups and curves in projective space
• Ergodicity of Anosov actions
• Codimension one Anosov flows and a conjecture of Verjovsky
• On Codimension One Anosov Diffeomorphisms

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