Diffeomorphism group valued cocycles over higher-rank abelian Anosov actions

DOI10.1017/etds.2018.22zbMath1436.37038arXiv1705.09857OpenAlexW2963311437MaRDI QIDQ5203829

Disheng Xu, Danijela Damjanović

Publication date: 9 December 2019

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.09857

zbMATH Keywords

rigidityAnosov diffeomorphismsdiffeomorphism groupCartan actionAnosov actionssmooth cocyclecocycle trivialization

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Rigidity results (53C24) Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Topological properties of groups of homeomorphisms or diffeomorphisms (57S05) General theory of group and pseudogroup actions (22F05) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Related Items (3)

On classification of higher rank Anosov actions on compact manifold ⋮ Diffeomorphism cocycles over partially hyperbolic systems ⋮ Pathology and asymmetry: centralizer rigidity for partially hyperbolic diffeomorphisms

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