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Global rigidity of higher rank Anosov algebraic actions

Dynamical Systems 2017-08-02 v1

Abstract

We show that all CC^\infty Anosov ZrZ^r-actions on tori and nilmanifolds without rank-one factor actions are, up to CC^\infty conjugacy, actions by automorphisms.

Keywords

Cite

@article{arxiv.1304.1234,
  title  = {Global rigidity of higher rank Anosov algebraic actions},
  author = {Federico Rodriguez Hertz and Zhiren Wang},
  journal= {arXiv preprint arXiv:1304.1234},
  year   = {2017}
}

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44 pages