International Journal of Mathematics and Mathematical Sciences
Volume 2008 (2008), Article ID 673534, 5 pages
doi:10.1155/2008/673534
Research Article
Affine Anosov Diffeomorphims of Affine Manifolds
1Department of Mathematics, Collège Boréal, Campus de Toronto, 951 Carlaw avenue, Toronto, ON, M4K 3M2, Canada
2Department of Mathematics, Fields Institute Research in Mathematical Science, 222 College Street, Toronto, ON, M5T 3J1, Canada
Received 17 July 2008; Accepted 22 October 2008
Academic Editor: Wolfgang Kuehnel
Copyright © 2008 Aristide Tsemo. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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.