Global rigidity of higher rank Anosov actions on tori and nilmanifolds. With an appendix by James F. Davis. (English) Zbl 1338.37040
Summary: We show that sufficiently irreducible Anosov actions of higher rank abelian groups on tori and nilmanifolds are \(C^\infty\)-conjugate to affine actions.
MSC:
| 37D20 | Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) |
| 37C20 | Generic properties, structural stability of dynamical systems |
| 37C85 | Dynamics induced by group actions other than \(\mathbb{Z}\) and \(\mathbb{R}\), and \(\mathbb{C}\) |
| 53C24 | Rigidity results |
| 42B05 | Fourier series and coefficients in several variables |
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