Bootstrapping Regularity of the Anosov Splitting

DOI10.2307/2159232zbMath0790.58029OpenAlexW4253762072MaRDI QIDQ4013496

Boris Hasselblatt

Publication date: 27 September 1992

Full work available at URL: https://doi.org/10.2307/2159232

zbMATH Keywords

dynamical systemshyperbolic systemsnegative curvatureAnosov systemshorospheric 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) Foliations (differential geometric aspects) (53C12) Differential geometry of symmetric spaces (53C35) 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 (6)

Regularity of the Anosov splitting and of horospheric foliations ⋮ Radial source estimates in Hölder-Zygmund spaces for hyperbolic dynamics ⋮ A paradifferential approach for hyperbolic dynamical systems and applications ⋮ Local rigidity of manifolds with hyperbolic cusps. II: Nonlinear theory ⋮ Anatole Katok ⋮ Deformations of Anosov flows and of Fuchsian groups

Cites Work

• A regularity lemma for functions of several variables
• Canonical perturbation theory of Anosov systems and regularity results for the Livsic cohomology equation
• Deformations of Anosov flows and of Fuchsian groups
• Differentiability, rigidity and Godbillon-Vey classes for Anosov flows
• Geodesic flows on manifolds of negative curvature with smooth horospheric foliations
• Anosov flows with smooth foliations and rigidity of geodesic flows on three-dimensional manifolds of negative curvature
• Geodesic flows of negatively curved manifolds with smooth stable and unstable foliations
• Riemannian geometry
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