Global rigidity of higher rank Anosov actions on tori and nilmanifolds

Author:

Fisher David,Kalinin Boris,Spatzier Ralf

Abstract

We show that sufficiently irreducible Anosov actions of higher rank abelian groups on tori and nilmanifolds are C C^{\infty } -conjugate to affine actions.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Cited by 20 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Exponential multiple mixing for commuting automorphisms of a nilmanifold;Ergodic Theory and Dynamical Systems;2023-10-11

2. Cartan actions of higher rank abelian groups and their classification;Journal of the American Mathematical Society;2023-08-31

3. Global rigidity of higher rank lattice actions with dominated splitting;Ergodic Theory and Dynamical Systems;2023-04-27

4. Rigidity properties for some isometric extensions of partially hyperbolic actions on the torus;Transactions of the American Mathematical Society;2023-03-21

5. Center foliation rigidity for partially hyperbolic toral diffeomorphisms;Mathematische Annalen;2022-11-02

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