Rigidity of some abelian-by-cyclic solvable group actions on \({\mathbb{T}}^N\)

DOI10.1007/s00220-019-03658-3zbMath1448.37037arXiv1902.01003OpenAlexW2913393749MaRDI QIDQ2184743

Amie Wilkinson, Jinxin Xue

Publication date: 29 May 2020

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

Full work available at URL: https://arxiv.org/abs/1902.01003

zbMATH Keywords

KAM theoryaffine actionsDiophantine conditionshyperbolic dynamicscircle diffeomorphismselliptic dynamics

Mathematics Subject Classification ID

Transformation groups and semigroups (topological aspects) (54H15) Dynamical systems involving maps of the circle (37E10) Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85)

Related Items (7)

On simultaneous linearization of certain commuting nearly integrable diffeomorphisms of the cylinder ⋮ Simultaneous conjugation of commuting foliation preserving torus maps ⋮ Local rigidity of certain solvable group actions on tori ⋮ Local rigidity of certain actions of solvable groups on the boundaries of rank-one symmetric spaces ⋮ Global rigidity of some abelian-by-cyclic group actions on \(\mathbb{T}^2\) ⋮ Classification of perturbations of Diophantine \(\mathbb{Z}^m\) actions on tori of arbitrary dimension ⋮ Transversal local rigidity of discrete abelian actions on Heisenberg nilmanifolds

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