Volume 15, issue 1 (2011)

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Totally nonsymplectic Anosov actions on tori and nilmanifolds

David Fisher, Boris Kalinin and Ralf Spatzier

Geometry & Topology 15 (2011) 191–216
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.

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