Local rigidity of higher rank non-abelian action on torus

DOI10.1017/etds.2017.77zbMath1439.37034arXiv1405.7737OpenAlexW2962816976MaRDI QIDQ5376551

Zhenqi Jenny Wang

Publication date: 13 May 2019

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

Full work available at URL: https://arxiv.org/abs/1405.7737

zbMATH Keywords

higher-rank ergodic nilpotent actionlocal smooth rigidity

Mathematics Subject Classification ID

Ergodic theory on groups (22D40) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Rigidity results (53C24) Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) General groups of measure-preserving transformations and dynamical systems (37A15)

Cites Work

• Unnamed Item
• Unnamed Item
• Local rigidity of partially hyperbolic actions I. KAM method and \({\mathbb Z^k}\) actions on the torus
• Local rigidity of homogeneous parabolic actions: I. A model case
• The first cohomology group, mixing and minimal sets of the commutative group of algebraic actions on a torus
• First cohomology of Anosov actions of higher rank abelian groups and applications to rigidity
• Subelliptic estimates of polynomial differential operators and applications to rigidity of abelian actions
• Local rigidity of affine actions of higher rank groups and lattices
• Ergodic automorphisms of \(T^ n\) are Bernoulli shifts
• Representation of finitely generated nilpotent groups
• Differential Rigidity of Anosov Actions of Higher Rank Abelian Groups and Algebraic Lattice Actions
• Global rigidity of higher rank Anosov actions on tori and nilmanifolds