Hölder regularity of horocycle foliations.

DOI10.4310/jdg/1214425216zbMath1144.37309OpenAlexW2029031458WikidataQ115193955 ScholiaQ115193955MaRDI QIDQ1567702

Amie Wilkinson, Marlies Gerber

Publication date: 26 June 2000

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.jdg/1214425216

zbMATH Keywords

Hölder regularityhorospherical foliationnonpositively curved manifold

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)

Related Items (6)

Non-hyperbolic behavior of geodesic flows of rank 1 surfaces ⋮ Equilibrium states for self‐products of flows and the mixing properties of rank 1 geodesic flows ⋮ Perturbations of geodesic flows by recurrent dynamics ⋮ Fluctuations of time averages around closed geodesics in non-positive curvature ⋮ Unique equilibrium states for geodesic flows in nonpositive curvature ⋮ Beyond Bowen’s Specification Property

Cites Work

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• On the differentiability of horocycles and horocycle foliations
• Geometry of horospheres
• Smoothness of horocycle foliations
• Horospheric foliations and relative pinching
• Stable ergodicity and julienne quasi-conformality
• Stably ergodic diffeomorphisms
• Differentiability, rigidity and Godbillon-Vey classes for Anosov flows
• Hölder exponents of horocycle foliations on surfaces
• Stable ergodicity of the time-one map of a geodesic flow

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