Totally nonsymplectic Anosov actions on tori and nilmanifolds

Fisher, David¹ ; Kalinin, Boris² ; Spatzier, Ralf³

¹ Department of Mathematics, Indiana University, Rawles Hall, Bloomington IN 47405, USA
² Department of Mathematics and Statistics, University of South Alabama, Mobile AL 36688, USA
³ Department of Mathematics, University of Michigan, 2074 East Hall, 530 Church Street, Ann Arbor MI 48109, USA

Geometry & topology, Tome 15 (2011) no. 1, pp. 191-216.

Résumé

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.

Détail

DOI : 10.2140/gt.2011.15.191

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

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