Global rigidity of higher rank Anosov algebraic actions

Abstract

We show that all $C^{\infty }$ Anosov $Z^r$-actions on tori and nilmanifolds without rank-one factor actions are, up to $C^{\infty }$ conjugacy, actions by automorphisms.

44 pages

References in corpus (2)

• Global rigidity for totally nonsymplectic Anosov Z^k actions
• On classification of resonance-free Anosov Z^k actions

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