Partially hyperbolic diffeomorphisms with a uniformly compact center foliation: the quotient dynamics

DOI10.1017/etds.2014.102zbMath1362.37075arXiv1210.2835OpenAlexW2963407967MaRDI QIDQ2813941

Doris Bohnet, Christian Bonatti

Publication date: 17 June 2016

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

Full work available at URL: https://arxiv.org/abs/1210.2835

zbMATH Keywords

dynamical coherencepartial hyperbolicitycenter foliationuniformly compact foliationshadowing Lemma

Mathematics Subject Classification ID

Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Partially hyperbolic systems and dominated splittings (37D30)

Related Items (16)

Partial hyperbolicity and pseudo orbit tracing properties ⋮ \(C^r\)-prevalence of stable ergodicity for a class of partially hyperbolic systems ⋮ Quasi-shadowing for partially hyperbolic dynamics on Banach spaces ⋮ The centralizer of Komuro-expansive flows and expansive \({{\mathbb {R}}}^d\) actions ⋮ Global stability of discretized Anosov flows ⋮ Transitive partially hyperbolic diffeomorphisms with one-dimensional neutral center ⋮ Quasi-shadowing for partially hyperbolic flows with a local product structure ⋮ Leafwise shadowing property for partially hyperbolic diffeomorphisms ⋮ Codimension one compact center foliations are uniformly compact ⋮ Quasi-shadowing for partially hyperbolic flows ⋮ On the limit quasi-shadowing property ⋮ Shadowing properties for weakly hyperbolic \(\mathbb{Z}^d\)-actions ⋮ Quasi-shadowing and limit quasi-shadowing for quasi-partially hyperbolic strings of flows ⋮ Quasi-shadowing property on random partially hyperbolic sets ⋮ Center specification property and entropy for partially hyperbolic diffeomorphisms ⋮ Uniqueness of minimal unstable lamination for discretized Anosov flows

Cites Work

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• Expansive homeomorphisms of surfaces
• Leaves Without Holonomy
• Stable ergodicity of the time-one map of a geodesic flow
• On dynamical coherence
• Adapted metrics for dominated splittings
• Invariant manifolds
• Foliations with all leaves compact

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