Local rigidity of affine actions of higher rank groups and lattices

DOI10.4007/annals.2009.170.67zbMath1186.22015arXivmath/0408213OpenAlexW2032753766MaRDI QIDQ2389211

David Fisher, Gregory A. Margulis

Publication date: 15 July 2009

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

Full work available at URL: https://arxiv.org/abs/math/0408213

zbMATH Keywords

partially hyperbolic diffeomorphismlocal rigidityhigher rank latticesaffine actiondynamical foliationhigher rank group

Mathematics Subject Classification ID

Discrete subgroups of Lie groups (22E40) Group actions and symmetry properties (58D19) Rigidity results (53C24) Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items (15)

On simultaneous linearization of certain commuting nearly integrable diffeomorphisms of the cylinder ⋮ On the work of Rodriguez Hertz on rigidity in dynamics ⋮ Local rigidity problem of smooth group actions ⋮ Global smooth and topological rigidity of hyperbolic lattice actions ⋮ Rigidity properties for some isometric extensions of partially hyperbolic actions on the torus ⋮ On local rigidity of partially hyperbolic affine \(\mathbb{Z}^k\) actions ⋮ Local rigidity of partially hyperbolic actions I. KAM method and \({\mathbb Z^k}\) actions on the torus ⋮ Totally nonsymplectic Anosov actions on tori and nilmanifolds ⋮ Rigidity of certain solvable actions on the sphere ⋮ Local rigidity of higher rank non-abelian action on torus ⋮ Deformations of group actions ⋮ Non-stationary smooth geometric structures for contracting measurable cocycles ⋮ Smooth factors of projective actions of higher-rank lattices and rigidity ⋮ Global rigidity of higher rank Anosov actions on tori and nilmanifolds ⋮ Almost isometric actions, property (T), and local rigidity

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