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

Global rigidity of higher rank Anosov actions on tori and nilmanifolds
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by David Fisher, Boris Kalinin and Ralf Spatzier; with an appendix by James F. Davis

J. Amer. Math. Soc. 26 (2013), 167-198

DOI: https://doi.org/10.1090/S0894-0347-2012-00751-6

Published electronically: 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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