Anosov automorphisms for nilmanifolds and rigidity of group actions

DOI10.1017/S0143385700008415zbMath0870.58084OpenAlexW2170585135MaRDI QIDQ4835548

Nantian Qian

Publication date: 18 September 1997

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

Full work available at URL: https://doi.org/10.1017/s0143385700008415

zbMATH Keywords

irreducible representationstructural stabilityLyapunov exponentstopological rigidityAnosov actionabelian \(\mathbb{R}\)-split group

Mathematics Subject Classification ID

Related Items (3)

Global smooth and topological rigidity of hyperbolic lattice actions ⋮ Totally nonsymplectic Anosov actions on tori and nilmanifolds ⋮ Tangential flatness and global rigidity of higher rank lattice actions

Cites Work

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• Canonical perturbation theory of Anosov systems and regularity results for the Livsic cohomology equation
• Rigidity for Anosov actions of higher rank lattices
• Local rigidity for certain groups of toral automorphisms
• Topological deformation rigidity of higher rank lattice actions
• Decomposition of unitary representations defined by discrete subgroups of nilpotent groups
• Remarks on the cohomology of groups
• Homology properties of Y-systems
• Cartan subgroups and lattices in semi-simple groups
• Deformation rigidity for subgroups of 𝑆𝐿(𝑛,𝐙) acting on the 𝐧-torus
• The Stationary Set of a Group Action
• Nilmanifolds with Anosov Automorphism
• Differentiable dynamical systems
• Invariant manifolds
• There are No New Anosov Diffeomorphisms on Tori

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