Invariants for smooth conjugacy of hyperbolic dynamical systems. IV

DOI10.1007/BF01225254zbMath0673.58038MaRDI QIDQ1120882

Roberto Moriyón, Rafael de la Llave

Publication date: 1988

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

zbMATH Keywords

Lyapunov exponents\(C^{\infty }\)-transitive Anosov flows

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10) Local and nonlocal bifurcation theory for dynamical systems (37G99) Dynamical systems with hyperbolic behavior (37D99)

Related Items (19)

Helicity, linking and the distribution of null-homologous periodic orbits for Anosov flows* ⋮ Differentiable conjugacy for groups of area-preserving circle diffeomorphisms ⋮ Anosov endomorphisms on the two-torus: regularity of foliations and rigidity ⋮ Smooth local rigidity for hyperbolic toral automorphisms ⋮ Smooth rigidity for very non-algebraic expanding maps ⋮ Local rigidity of Lyapunov spectrum for toral automorphisms ⋮ Entropy rigidity for 3D conservative Anosov flows and dispersing billiards ⋮ Smooth classification of geometrically finite one-dimensional maps ⋮ Prevalence of non-Lipschitz Anosov foliations ⋮ Smooth conjugacy and S-R-B measures for uniformly and non-uniformly hyperbolic systems ⋮ Infinitesimal conjugacies and Weil-Petersson metric ⋮ Cohomology of fiber bunched cocycles over hyperbolic systems ⋮ Lyapunov exponents and rigidity of Anosov automorphisms and skew products ⋮ On Anosov diffeomorphisms with asymptotically conformal periodic data ⋮ Differentiability, rigidity and Godbillon-Vey classes for Anosov flows ⋮ Nonhomogeneous locally free actions of the affine group ⋮ Book Review: Fine structure of hyperbolic diffeomorphisms ⋮ Unstable entropy in smooth ergodic theory ^* ⋮ Local rigidity for hyperbolic toral automorphisms

Cites Work

• Unnamed Item
• Canonical perturbation theory of Anosov systems and regularity results for the Livsic cohomology equation
• On a regularity problem occurring in connection with Anosov diffeomorphisms
• Invariants for smooth conjugacy of hyperbolic dynamical systems. II
• Invariants for smooth conjugacy of hyperbolic dynamical systems. III
• The spectrum of positive elliptic operators and periodic bicharacteristics
• Semi-rigidity of horocycle flows over compact surfaces of variable negative curvature
• COHOMOLOGY OF DYNAMICAL SYSTEMS
• Anosov Diffeomorphisms on Tori
• On Codimension One Anosov Diffeomorphisms
• There are No New Anosov Diffeomorphisms on Tori

This page was built for publication: Invariants for smooth conjugacy of hyperbolic dynamical systems. IV