Rigidity of weakly hyperbolic actions of higher real rank semisimple Lie groups and their lattices

DOI10.1017/S0143385701001109zbMath0976.22009OpenAlexW2144209799WikidataQ115336323 ScholiaQ115336323MaRDI QIDQ2709594

Nantian Qian, Gregory A. Margulis

Publication date: 12 December 2001

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

Full work available at URL: https://doi.org/10.1017/s0143385701001109

zbMATH Keywords

rigiditylatticesAnosov actionscocycle superrigidityreal semisimple Lie groupsweakly hyperbolic standard actions

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Discrete subgroups of Lie groups (22E40)

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Exponential mixing and smooth classification of commuting expanding maps ⋮ Local rigidity of affine actions of higher rank groups and lattices ⋮ Global smooth and topological rigidity of hyperbolic lattice actions ⋮ Local rigidity of higher rank homogeneous abelian actions: a complete solution via the geometric method ⋮ Lattice subgroups acting on manifolds ⋮ 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 ⋮ Global rigidity of higher rank lattice actions with dominated splitting ⋮ Global rigidity of higher rank abelian Anosov algebraic actions ⋮ Non-uniform measure rigidity for ℤ^{𝕜} actions of symplectic type ⋮ Global rigidity of higher rank Anosov actions on tori and nilmanifolds ⋮ A nonhomogeneous orbit closure of a diagonal subgroup ⋮ Local rigidity of actions of higher rank abelian groups and KAM method

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