Global smooth and topological rigidity of hyperbolic lattice actions

DOI10.4007/annals.2017.186.3.3zbMath1379.37060arXiv1512.06720OpenAlexW2963995747MaRDI QIDQ1679188

Zhiren Wang, Federico Rodriguez Hertz, Aaron W. Brown

Publication date: 8 November 2017

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

Full work available at URL: https://arxiv.org/abs/1512.06720

zbMATH Keywords

topological rigidityglobal rigidityhyperbolic actionsmooth rigidityAnosov actionhigher-rank lattice

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Generic properties, structural stability of dynamical systems (37C20)

Related Items (5)

Symmetries of exotic negatively curved manifolds ⋮ Local rigidity of higher rank homogeneous abelian actions: a complete solution via the geometric method ⋮ Lattice subgroups acting on manifolds ⋮ Global rigidity of higher rank lattice actions with dominated splitting ⋮ Zimmer's conjecture: subexponential growth, measure rigidity, and strong property (T)

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