On the global rigidity of split Anosov \bm{R}ⁿ-actions

Abstract

We show that a so called split Anosov \bm{R}ⁿ-action on a closed oriented (2n+1)-dimensional manifold is C^∞ conjugate to the suspension of a split hyperbolic affine representation of \bm{Z}ⁿ on the (n+1)-dimensional torus.