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Totally non-symplectic Anosov actions on tori and nilmanifolds

arXiv:0905.2642 · doi:10.2140/gt.2011.15.191

Abstract

We show that sufficiently irreducible totally non-symplectic Anosov actions of higher rank abelian groups on tori and nilmanifolds are smoothly conjugate to affine actions.

23 pages. New version improves exposition.