Plane affine geometry and Anosov flows

DOI10.1016/S0012-9593(01)01079-5zbMath1098.37513OpenAlexW2091733928MaRDI QIDQ4534275

Thierry Barbot

Publication date: 8 August 2002

Published in: Annales Scientifiques de l’École Normale Supérieure (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=ASENS_2001_4_34_6_871_0

Mathematics Subject Classification ID

Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Foliations in differential topology; geometric theory (57R30) Low-dimensional dynamical systems (37E99)

Related Items (9)

Horocycle flows for laminations by hyperbolic Riemann surfaces and Hedlund's theorem ⋮ Pseudo-Anosov flows in toroidal manifolds ⋮ Orbit equivalences of \(\mathbb{R}\)-covered Anosov flows and hyperbolic-like actions on the line. With an appendix written jointly with Jonathan Bowden ⋮ Veering branched surfaces, surgeries, and geodesic flows ⋮ Transversely projective foliations on Seifert manifolds. ⋮ Contact Anosov flows on hyperbolic 3-manifolds ⋮ Isometries of Lorentz surfaces and convergence groups ⋮ Convergence groups and semiconjugacy ⋮ Three-dimensional Anosov flag manifolds

Cites Work

• Flots d'Anosov sur les variétés graphées au sens de Waldhausen. (Anosov flows on graph manifolds in the sense of Waldhausen.)
• Transitive Anosov flows and pseudo-Anosov maps
• Anosov flows on new three manifolds
• Deformations of Anosov flows and of Fuchsian groups
• Unique ergodicity for horocycle foliations
• Open manifolds foliated by planes
• Generalizations of the Bonatti-Langevin example of Anosov flow and their classification up to topological equivalence
• Anosov flows in 3-manifolds
• Differentiable rigidity of Fuchsian groups
• The structure of branching in Anosov flows of 3-manifolds
• Compact projective planes. With an introduction to octonion geometry
• Differentiability, rigidity and Godbillon-Vey classes for Anosov flows
• Certain measures associated with U-flows on compact manifolds
• Anosov flows and the fundamental group
• Flots d'Anosov sur les 3-variétés fibrées en cercles
• Flots d'Anosov dont les feuilletages stables sont différentiables
• Anosov Flows, Transversely Affine Foliations, and a Conjecture of Verjovsky
• Prevalence of non-Lipschitz Anosov foliations
• Un exemple de flot d'Anosov transitif transverse à un tore et non conjugué à une suspension
• Codimension one Anosov flows and a conjecture of Verjovsky
• Caractérisation des flots d' Anosov en dimension 3 par leurs feuilletages faibles
• On Codimension One Anosov Diffeomorphisms
• Anosov Flows
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