Geometry & Topology

Totally nonsymplectic Anosov actions on tori and nilmanifolds

David Fisher, Boris Kalinin, and Ralf Spatzier

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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

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

Received: 29 March 2010
Accepted: 15 November 2010
First available in Project Euclid: 20 December 2017

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Zentralblatt MATH identifier

rigidity smooth conjugacy Anosov action higher rank abelian group


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.

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