On a regularity problem occurring in connection with Anosov diffeomorphisms

DOI10.1007/BF01454979zbMath0603.58019MaRDI QIDQ1082674

Jean-Lin Journé

Publication date: 1986

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Hölder foliations\(C^{\infty }\) leaves

Mathematics Subject Classification ID

Foliations in differential topology; geometric theory (57R30) Dynamical systems with hyperbolic behavior (37D99)

Related Items

First cohomology of Anosov actions of higher rank abelian groups and applications to rigidity, Cohomology of dynamical systems and rigidity of partially hyperbolic actions of higher-rank lattices, Invariants for smooth conjugacy of hyperbolic dynamical systems. II, Invariants for smooth conjugacy of hyperbolic dynamical systems. IV, Higher cohomology for Abelian groups of toral automorphisms, Radial source estimates in Hölder-Zygmund spaces for hyperbolic dynamics, Fold maps associated to geodesic random walks on non-positively curved manifolds, Isometric extensions of Anosov flows via microlocal analysis, C\({}^ k\)-rigidity for hyperbolic flows. II, Local rigidity for certain groups of toral automorphisms, On some measures associated to the geodesic flow, On compact asymptotically harmonic manifolds, Smooth conjugacy and S-R-B measures for uniformly and non-uniformly hyperbolic systems, Differentiability, rigidity and Godbillon-Vey classes for Anosov flows, Livsic theorems for hyperbolic flows, Topological superrigidity and anosov actions of lattices

Cites Work

• Invariants for smooth conjugacy of hyperbolic dynamical systems. II
• Canonical perturbation theory of Anosov systems, and regularity results for the Livsic cohomology equation
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