Totally nonsymplectic Anosov actions on tori and nilmanifolds

Fisher, David; Kalinin, Boris; Spatzier, Ralf

doi:10.2140/gt.2011.15.191

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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

DOI: 10.2140/gt.2011.15.191

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

References

Publication

Received: 29 March 2010

Accepted: 15 November 2010

Published: 30 January 2011

Proposed: Benson Farb

Seconded: Danny Calegari, Walter Neumann

Authors

David Fisher
Department of Mathematics Indiana University Rawles Hall Bloomington IN 47405 USA
http://mypage.iu.edu/~fisherdm/
Boris Kalinin
Department of Mathematics and Statistics University of South Alabama Mobile AL 36688 USA
http://www.southalabama.edu/mathstat/personal_pages/kalinin/
Ralf Spatzier
Department of Mathematics University of Michigan 2074 East Hall 530 Church Street Ann Arbor MI 48109 USA
http://www.math.lsa.umich.edu/~spatzier/

Volume 15, issue 1 (2011)