Global rigidity of higher rank Anosov actions on tori and nilmanifolds

Fisher, David; Kalinin, Boris; Spatzier, Ralf

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

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ISSN 1088-6834(online) ISSN 0894-0347(print)

Global rigidity of higher rank Anosov actions on tori and nilmanifolds

Authors: David Fisher, Boris Kalinin and Ralf Spatzier; with an appendix by James F. Davis
Journal: J. Amer. Math. Soc. 26 (2013), 167-198
MSC (2010): Primary 37C15, 37C85, 37D20, 53C24; Secondary 42B05
Posted: August 20, 2012
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Abstract: We show that sufficiently irreducible Anosov actions of higher rank abelian groups on tori and nilmanifolds are $C^{\infty }$ -conjugate to affine actions.

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