Semi-rigidity of horocycle flows over compact surfaces of variable negative curvature

DOI10.1017/S0143385700003801zbMath0633.58024MaRDI QIDQ3771284

Jacob Feldman, Donald S. Ornstein

Publication date: 1987

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

zbMATH Keywords

conjugacygeodesic flowunstable horocycle foliations

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)

Related Items (15)

Smooth rigidity for codimension one Anosov flows ⋮ The hyperbolic manifolds are local minima of the topological entropy ⋮ Geometrically finite groups, Patterson-Sullivan measures and Ratner's rigidity theorem ⋮ \(C^ r\)-rigidity theorems for hyperbolic flows ⋮ Invariants for smooth conjugacy of hyperbolic dynamical systems. IV ⋮ Smooth rigidity for higher-dimensional contact Anosov flows ⋮ Some rigidity theorems for Anosov geodesic flows in manifolds of finite volume ⋮ Rigid reparametrizations and cohomology for horocycle flows ⋮ C\({}^ k\)-rigidity for hyperbolic flows. II ⋮ Flots d'Anosov dont les feuilletages stables sont différentiables ⋮ Smooth conjugacy and S-R-B measures for uniformly and non-uniformly hyperbolic systems ⋮ Statistical properties of chaotic systems ⋮ Extreme instability of the horocycle flow ⋮ Livsic theorems, maximizing measures and the stable norm ⋮ Rigidity of joinings for some measure-preserving systems

Cites Work

• Horocycle flows, joinings and rigidity of products
• Some inverse spectral results for negatively curved 2-manifolds
• Unique ergodicity of the horocycle flow: variable negative curvature case
• Certain measures associated with U-flows on compact manifolds
• Topological Conjugacy of Horocycle Flows
• Dynamics of horospherical flows
• Anosov Flows

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