Anomalous partially hyperbolic diffeomorphisms. III: Abundance and incoherence
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Publication:2211888
DOI10.2140/gt.2020.24.1751zbMath1470.37049arXiv1706.04962OpenAlexW3098537493WikidataQ115497274 ScholiaQ115497274MaRDI QIDQ2211888
Rafael Potrie, Andy Hammerlindl, Christian Bonatti, Andrey Gogolev
Publication date: 17 November 2020
Published in: Geometry \& Topology (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1706.04962
Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Partially hyperbolic systems and dominated splittings (37D30) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) General topology of 3-manifolds (57K30)
Related Items (14)
Ergodicity and partial hyperbolicity on Seifert manifolds ⋮ Ergodicity of partially hyperbolic diffeomorphisms in hyperbolic 3-manifolds ⋮ \(C^r\)-closing lemma for partially hyperbolic diffeomorphisms with 1D-center bundle ⋮ Robust minimality of strong foliations for DA diffeomorphisms: 𝑐𝑢-volume expansion and new examples ⋮ Nonhyperbolic dynamics by mingling, blending, and flip-flopping ⋮ Partially hyperbolic diffeomorphisms homotopic to the identity in dimension 3. II: Branching foliations ⋮ Orbit equivalences of \(\mathbb{R}\)-covered Anosov flows and hyperbolic-like actions on the line. With an appendix written jointly with Jonathan Bowden ⋮ Dynamically incoherent surface endomorphisms ⋮ Transitive partially hyperbolic diffeomorphisms with one-dimensional neutral center ⋮ Collapsed Anosov flows and self orbit equivalences ⋮ Partial hyperbolicity and pseudo-Anosov dynamics ⋮ Partial hyperbolicity and classification: a survey ⋮ Dynamical incoherence for a large class of partially hyperbolic diffeomorphisms ⋮ Uniqueness of minimal unstable lamination for discretized Anosov flows
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