Global rigidity of higher rank Anosov actions on tori and nilmanifolds

Fisher, David¹ ; Kalinin, Boris² ; Spatzier, Ralf³

¹ Department of Mathematics, Indiana University, Bloomington, Indiana 47405
² Department of Mathematics, Pennsylvania State University, University Park, Pennsylvania 16802
³ Department of Mathematics, University of Michigan, Ann Arbor, Michigan 48109

Journal of the American Mathematical Society, Tome 26 (2013) no. 1, pp. 167-198

Résumé

We show that sufficiently irreducible Anosov actions of higher rank abelian groups on tori and nilmanifolds are $C^{\infty }$-conjugate to affine actions.

Détail

DOI : 10.1090/S0894-0347-2012-00751-6

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