On Anosov diffeomorphisms with asymptotically conformal periodic data
From MaRDI portal
Publication:3598965
DOI10.1017/S0143385708000357zbMath1213.37050arXiv0709.3790OpenAlexW2078355739MaRDI QIDQ3598965
Boris Kalinin, Victoria Sadovskaya
Publication date: 3 February 2009
Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0709.3790
Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25)
Related Items (11)
Cocycles with one exponent over partially hyperbolic systems ⋮ Smooth local rigidity for hyperbolic toral automorphisms ⋮ Smooth rigidity for higher-dimensional contact Anosov flows ⋮ Joint integrability and spectral rigidity for Anosov diffeomorphisms ⋮ Smooth rigidity for very non-algebraic expanding maps ⋮ Local rigidity of Lyapunov spectrum for toral automorphisms ⋮ Bootstrap for local rigidity of Anosov automorphisms on the 3-torus ⋮ Livšic theorems for non-commutative groups including diffeomorphism groups and results on the existence of conformal structures for Anosov systems ⋮ Cohomology of fiber bunched cocycles over hyperbolic systems ⋮ Lyapunov exponents and rigidity of Anosov automorphisms and skew products ⋮ Local rigidity for hyperbolic toral automorphisms
Cites Work
- Unnamed Item
- A regularity lemma for functions of several variables
- C\({}^ k\)-rigidity for hyperbolic flows. II
- \(C^1\)-differentiable conjugacy of Anosov diffeomorphisms on three dimensional torus
- The metric entropy of diffeomorphisms. I: Characterization of measures satisfying Pesin's entropy formula
- Ergodic theory and Weil measures for foliations
- Invariants for smooth conjugacy of hyperbolic dynamical systems. II
- Invariants for smooth conjugacy of hyperbolic dynamical systems. IV
- Smooth conjugacy and S-R-B measures for uniformly and non-uniformly hyperbolic systems
- On uniformly quasiconformal Anosov systems
- Global rigidity of certain Abelian actions by toral automorphisms
- Global rigidity for totally nonsymplectic Anosov \(\mathbb Z^k\) actions
- ON LOCAL AND GLOBAL RIGIDITY OF QUASI-CONFORMAL ANOSOV DIFFEOMORPHISMS
- Smooth rigidity of uniformly quasiconformal Anosov flows
- Rigidity of higher-dimensional conformal Anosov systems
- Further rigidity properties of conformal Anosov systems
This page was built for publication: On Anosov diffeomorphisms with asymptotically conformal periodic data
