Flots d'Anosov sur les 3-variétés fibrées en cercles

DOI10.1017/S0143385700002273zbMath0527.58030OpenAlexW2140313370MaRDI QIDQ3042049

Étienne Ghys

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1017/s0143385700002273

zbMATH Keywords

Anosov flowstopological equivalenceclosed hyperbolic manifoldcircle bundle over a surface

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Geodesic flows in symplectic geometry and contact geometry (53D25) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Dynamical systems with hyperbolic behavior (37D99)

Related Items (38)

A spectral-like decomposition for transitive Anosov flows in dimension three ⋮ 3-manifolds supporting Anosov flows and Abelian normal subgroups ⋮ Ergodicity of partially hyperbolic diffeomorphisms in hyperbolic 3-manifolds ⋮ Plane affine geometry and Anosov flows ⋮ Non-hyperbolic behavior of geodesic flows of rank 1 surfaces ⋮ Almost commensurability of 3-dimensional Anosov flows ⋮ The X-ray transform on a general family of curves on Finsler surfaces ⋮ Regulating flows, topology of foliations and rigidity ⋮ Classifying foliations of 3-manifolds via branched surfaces ⋮ Pseudo-Anosov flows in toroidal manifolds ⋮ Vortices over Riemann surfaces and dominated splittings ⋮ Horizontal vector fields and Seifert fiberings ⋮ Classifying the expanding attractors on the figure‐eight knot exterior and the non‐transitive Anosov flows on the Franks–Williams manifold ⋮ Geodesic flows modeled by expansive flows: compact surfaces without conjugate points and continuous Green bundles ⋮ Collapsed Anosov flows and self orbit equivalences ⋮ Research Announcement: Partially Hyperbolic Diffeomorphisms Homotopic to the Identity on 3-Manifolds ⋮ Flag Structures on Seifert Manifolds ⋮ Contact Anosov flows on hyperbolic 3-manifolds ⋮ Dynamical coherence of partially hyperbolic diffeomorphisms of tori isotopic to Anosov ⋮ The magnetic ray transform on Anosov surfaces ⋮ Flots d'Anosov dont les feuilletages stables sont différentiables ⋮ Flots d'Anosov sur les variétés graphées au sens de Waldhausen. (Anosov flows on graph manifolds in the sense of Waldhausen.) ⋮ Holomorphic differentials, thermostats and Anosov flows ⋮ Partial hyperbolicity and classification: a survey ⋮ Deformations of Anosov flows and of Fuchsian groups ⋮ Infinitesimal conjugacies and Weil-Petersson metric ⋮ Seifert manifolds admitting partially hyperbolic diffeomorphisms ⋮ Entropy production in thermostats. II ⋮ Free Seifert pieces of pseudo-Anosov flows ⋮ Laminar Groups and 3-Manifolds ⋮ Geodesic Flows Modelled by Expansive Flows ⋮ Nonhomogeneous locally free actions of the affine group ⋮ The Hausdorff dimension of the harmonic class on negatively curved surfaces ⋮ Local and global properties of limit sets of foliations of quasigeodesic Anosov flows ⋮ A condition for the stability of ℝ-covered on foliations of 3-manifolds ⋮ Rigidity of surfaces whose geodesic flows preserve smooth foliations of codimension 1 ⋮ Group actions on nonseparated 1-manifolds and foliations of codimension one ⋮ Building Anosov flows on 3-manifolds

Cites Work

• Foliations of 3-manifolds with solvable fundamental group
• Anosov flows on new three manifolds
• Plongements dans les variétés feuilletees et classification de feuilletages sans holonomie
• Open manifolds foliated by planes
• Feuilletages des variétés de dimension 3 qui sont des fibres en cercles
• Riemannian manifolds with geodesic flow of Anosov type
• Anosov flows and the fundamental group

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