Local rigidity of restrictions of Weyl chamber flows

DOI10.1016/j.crma.2007.03.009zbMath1113.37015OpenAlexW2037179867MaRDI QIDQ883405

Anatole Katok, Danijela Damjanović

Publication date: 4 June 2007

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2007.03.009

zbMATH Keywords

invariant foliationspartially hyperbolic actions

Mathematics Subject Classification ID

Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Partially hyperbolic systems and dominated splittings (37D30) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) General groups of measure-preserving transformations and dynamical systems (37A15) General theory of group and pseudogroup actions (22F05)

Related Items (3)

Local rigidity of partially hyperbolic actions I. KAM method and \({\mathbb Z^k}\) actions on the torus ⋮ Anatole Katok ⋮ Strong spectral gaps for compact quotients of products of \(\text{PSL}(2,\mathbb R)\)

Cites Work

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• Local rigidity of partially hyperbolic actions I. KAM method and \({\mathbb Z^k}\) actions on the torus
• Normal forms and invariant geometric structures for dynamical systems with invariant contracting foliations
• Subelliptic estimates of polynomial differential operators and applications to rigidity of abelian actions
• Cocycles' stability for partially hyperbolic systems
• Periodic cycle functionals and cocycle rigidity for certain partially hyperbolic \(\mathbb R^k\) actions
• Differential Rigidity of Anosov Actions of Higher Rank Abelian Groups and Algebraic Lattice Actions
• Local rigidity of actions of higher rank abelian groups and KAM method
• Introduction to Algebraic K-Theory. (AM-72)
• Invariant manifolds

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