## Geometry & Topology

### Totally nonsymplectic Anosov actions on tori and nilmanifolds

#### Abstract

We show that totally nonsymplectic Anosov actions of higher rank abelian groups on tori and nilmanifolds with semisimple linearization are $C∞$–conjugate to actions by affine automorphisms.

#### Article information

Source
Geom. Topol., Volume 15, Number 1 (2011), 191-216.

Dates
Accepted: 15 November 2010
First available in Project Euclid: 20 December 2017

https://projecteuclid.org/euclid.gt/1513732275

Digital Object Identifier
doi:10.2140/gt.2011.15.191

Mathematical Reviews number (MathSciNet)
MR2776843

Zentralblatt MATH identifier
1213.37043

#### Citation

Fisher, David; Kalinin, Boris; Spatzier, Ralf. Totally nonsymplectic Anosov actions on tori and nilmanifolds. Geom. Topol. 15 (2011), no. 1, 191--216. doi:10.2140/gt.2011.15.191. https://projecteuclid.org/euclid.gt/1513732275

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