## 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 PDF
- J. Amer. Math. Soc.
**26**(2013), 167-198 Request permission

## Abstract:

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

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## Additional Information

**David Fisher**- Affiliation: Department of Mathematics, Indiana University, Bloomington, Indiana 47405
- MR Author ID: 684089
- Email: fisherdm@indiana.edu
**Boris Kalinin**- Affiliation: Department of Mathematics, Pennsylvania State University, University Park, Pennsylvania 16802
- MR Author ID: 603534
- Email: bvk102@psu.edu
**Ralf Spatzier**- Affiliation: Department of Mathematics, University of Michigan, Ann Arbor, Michigan 48109
- Email: spatzier@umich.edu
**James F. Davis**- Affiliation: Department of Mathematics, Indiana University, Bloomington, Indiana 47405
- MR Author ID: 194576
- Email: jfdavis@indiana.edu
- Received by editor(s): October 3, 2011
- Received by editor(s) in revised form: November 17, 2011, and May 17, 2012
- Published electronically: August 20, 2012
- Additional Notes: The authors were supported in part by NSF grants DMS-0643546, DMS-1101150 and DMS-0906085

The contributing author was supported in part by NSF grant DMS-1210991 - © Copyright 2012
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication. - Journal: J. Amer. Math. Soc.
**26**(2013), 167-198 - MSC (2010): Primary 37C15, 37C85, 37D20, 53C24; Secondary 42B05
- DOI: https://doi.org/10.1090/S0894-0347-2012-00751-6
- MathSciNet review: 2983009