Partial hyperbolicity and classification: a survey
From MaRDI portal
Publication:4643249
DOI10.1017/etds.2016.50zbMath1393.37038arXiv1511.04471OpenAlexW3100596046MaRDI QIDQ4643249
Andy Hammerlindl, Rafael Potrie
Publication date: 24 May 2018
Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1511.04471
Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Partially hyperbolic systems and dominated splittings (37D30)
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Cites Work
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- Partially hyperbolic diffeomorphisms with a trapping property
- New partially hyperbolic dynamical systems. I
- A non-dynamically coherent example on \(\mathbb T^3\)
- Aspherical products which do not support Anosov diffeomorphisms
- Pseudo-Anosov flows in toroidal manifolds
- Partial hyperbolicity on 3-dimensional nilmanifolds
- Partially hyperbolic diffeomorphisms with compact center foliations
- Dynamical coherence of partially hyperbolic diffeomorphisms of tori isotopic to Anosov
- Partial hyperbolicity and foliations in \(\mathbb{T}^3\)
- Ergodic components of partially hyperbolic systems
- Integrability and Lyapunov exponents
- Tori with hyperbolic dynamics in 3-manifolds
- Flots d'Anosov sur les variétés graphées au sens de Waldhausen. (Anosov flows on graph manifolds in the sense of Waldhausen.)
- Structural stability on two-dimensional manifolds
- On expanding foliations
- Dynamical coherence and center bunching
- Partially hyperbolic diffeomorphisms of 3-manifolds with abelian fundamental groups
- Foliations of 3-manifolds with solvable fundamental group
- Anosov flows on new three manifolds
- On the ergodicity of frame flows
- Groups of polynomial growth and expanding maps. Appendix by Jacques Tits
- Currents, flows and diffeomorphisms
- Topological transitivity of one class of dynamical systems and flows of frames on manifolds of negative curvature
- A counterexample to the periodic orbit conjecture
- Open manifolds foliated by planes
- Feuilletages des variétés de dimension 3 qui sont des fibres en cercles
- Contributions to the stability conjecture
- Anosov diffeomorphisms constructed from \(\pi_1\) Diff\((S^n)\)
- Anosov flows in 3-manifolds
- Three remarks on geodesic dynamics and fundamental group
- Laminations and groups of homeomorphisms of the circle
- A \(C^1\)-generic dichotomy for diffeomorphisms: weak forms of hyperbolicity or infinitely many sinks of sources
- Partial hyperbolicity and robust transitivity
- Transitive partially hyperbolic diffeomorphisms on 3-manifolds
- Seifert manifolds admitting partially hyperbolic diffeomorphisms
- Stably ergodic diffeomorphisms
- Dynamics beyond uniform hyperbolicity. A global geometric and probabilistic perspective
- Persistent nonhyperbolic transitive diffeomorphisms
- Anomalous partially hyperbolic diffeomorphisms. III: Abundance and incoherence
- Dynamical coherence of partially hyperbolic diffeomorphisms of the 3-torus
- Building Anosov flows on 3-manifolds
- Essential laminations in Seifert-fibered spaces
- On uniformly quasiconformal Anosov systems
- On the dynamics of dominated splitting
- Transverse foliations on the torus \(\mathbb{T}^2\) and partially hyperbolic diffeomorphisms on 3-manifolds
- Codimension-1 partially hyperbolic diffeomorphisms with a uniformly compact center foliation
- Anomalous partially hyperbolic diffeomorphisms. II: Stably ergodic examples
- Anosov flows and the fundamental group
- On bundles that admit fiberwise hyperbolic dynamics
- Ergodicity and partial hyperbolicity on the 3-torus
- Anosov diffeomorphisms constructed from π k (Diff(S n ))
- Dynamics of quasi-isometric foliations
- Polynomial global product structure
- Classification of partially hyperbolic diffeomorphisms in 3-manifolds with solvable fundamental group
- Anomalous partially hyperbolic diffeomorphisms I: dynamically coherent examples
- Flots d'Anosov sur les 3-variétés fibrées en cercles
- COMPONENTS OF TOPOLOGICAL FOLIATIONS
- On 3-manifolds that support partially hyperbolic diffeomorphisms
- Three-Dimensional Flows
- Differential Topology
- Un exemple de flot d'Anosov transitif transverse à un tore et non conjugué à une suspension
- Persistent manifolds are normally hyperbolic
- On dynamical coherence
- Stable ergodicity
- Every compact manifold carries a completely hyperbolic diffeomorphism
- Infinitely many hyperbolic 3-manifolds which contain no Reebless foliation
- Leaf conjugacies on the torus
- Partially hyperbolic dynamics in dimension three
- Manifolds with higher homotopy which do not support Anosov diffeomorphisms
- Pointwise partial hyperbolicity in three-dimensional nilmanifolds
- On the Surface of Section and Periodic Trajectories
- On Codimension One Anosov Diffeomorphisms
- There are No New Anosov Diffeomorphisms on Tori
- Compact dynamical foliations
- Invariant manifolds
