International Journal of Mathematics and Mathematical Sciences
Volume 2008 (2008), Article ID 673534, 5 pages
doi:10.1155/2008/673534

Affine Anosov diffeomorphims of affine manifolds

Aristide Tsemo

Department of Mathematics, Collège Boréal, Campus de Toronto, 951 Carlaw avenue, Toronto, ON, M4K 3M2, Canada

Abstract

We show that a compact affine manifold endowed with an affine Anosov transformation is finitely covered by a complete affine nilmanifold. This is a partial answer of a conjecture of Franks for affine manifolds.