Global rigidity of higher rank abelian Anosov algebraic actions

By F. Rodriguez Hertz, Zhiren Wang. 2013

51 citations recorded by the source corpus.

We show that all $$C^\infty $$C∞ Anosov $$\mathbb {Z}^r$$Zr-actions on tori and nilmanifolds without rank-one factor actions are, up to $$C^\infty $$C∞ conjugacy, actions by automorphisms.

Subfields: Computational Theory and Mathematics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/acf6845553b203302c6c87b8f8d87d51ac9406be

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In Computational Theory and Mathematics

1. D. Fisher
2. Aaron W. Brown
3. Sebastián Hurtado

In Geometry and Topology

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In Mathematical Physics

1. Aaron W. Brown
2. Sebastián Hurtado
3. D. Fisher

Citations in the corpus

• Zimmer's conjecture: Subexponential growth, measure rigidity, and strong property (T) (2016, methodology): “the existence of a Ho¨lder conjugacy a nd is used in conjunction with exponential decay of matrix coefficients for abelian gr oups. These ideas are also applied in the work of Rodriguez-Hertz and Wang [RHW]. Acknowledgements. We thank Yves Benoist, Alex Eskin, Federico Rodriguez Hertz, Mikael de la S”