Local rigidity of partially hyperbolic actions I. KAM method and \({\mathbb Z^k}\) actions on the torus

DOI10.4007/annals.2010.172.1805zbMath1209.37017OpenAlexW2093051151MaRDI QIDQ624921

Danijela Damjanović, Anatole Katok

Publication date: 11 February 2011

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4007/annals.2010.172.1805

zbMATH Keywords

algebraic partially hyperbolic actionsdifferentiable rigidityKolmogorov-Arnold-Moser iterative scheme

Mathematics Subject Classification ID

Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Implicit function theorems; global Newton methods on manifolds (58C15)

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