Totally nonsymplectic Anosov actions on tori and nilmanifolds

David Fisher; Boris Kalinin; Ralf Spatzier

doi:10.2140/gt.2011.15.191

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Home > Journals > Geom. Topol. > Volume 15 > Issue 1 > Article

2011 Totally nonsymplectic Anosov actions on tori and nilmanifolds

David Fisher, Boris Kalinin, Ralf Spatzier

Geom. Topol. 15(1): 191-216 (2011). DOI: 10.2140/gt.2011.15.191

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Abstract

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

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David Fisher. Boris Kalinin. Ralf Spatzier. "Totally nonsymplectic Anosov actions on tori and nilmanifolds." Geom. Topol. 15 (1) 191 - 216, 2011. https://doi.org/10.2140/gt.2011.15.191

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Received: 29 March 2010; Accepted: 15 November 2010; Published: 2011

First available in Project Euclid: 20 December 2017

zbMATH: 1213.37043

MathSciNet: MR2776843

Digital Object Identifier: 10.2140/gt.2011.15.191

Keywords: Anosov action , higher rank abelian group , rigidity , smooth conjugacy

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David Fisher, Boris Kalinin, Ralf Spatzier "Totally nonsymplectic Anosov actions on tori and nilmanifolds," Geometry & Topology, Geom. Topol. 15(1), 191-216, (2011)

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