Anosov flows with smooth foliations and rigidity of geodesic flows on three-dimensional manifolds of negative curvature

DOI10.1017/S0143385700005836zbMath0729.58039OpenAlexW1980543654MaRDI QIDQ3353848

Anatole Katok, Renato Feres

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1017/s0143385700005836

zbMATH Keywords

Anosov flowAnosov foliationshorospheric foliations

Mathematics Subject Classification ID

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 (9)

Invariant two-forms for geodesic flows ⋮ Hyperbolic rank rigidity for manifolds of -pinched negative curvature ⋮ Geometric Anosov flows of dimension 5 ⋮ Anatole Katok ⋮ Deformations of Anosov flows and of Fuchsian groups ⋮ Bootstrapping Regularity of the Anosov Splitting ⋮ Differentiability, rigidity and Godbillon-Vey classes for Anosov flows ⋮ Rigidity of surfaces whose geodesic flows preserve smooth foliations of codimension 1 ⋮ Carnot metrics, dynamics and local rigidity

Cites Work

• Periodic Orbits for Hyperbolic Flows

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