The anosov theorem for infranilmanifolds with an odd-order abelian holonomy group

We prove that N(f)=|L(f)| for any continuous map f of a given infranilmanifold with Abelian holonomy group of odd order. This theorem is the analogue of a theorem of Anosov for continuous maps on nilmanifolds. We will also show that although their fundamental groups are solvable, the infranilmanifol...

Full description

Bibliographic Details
Main Authors: H. Pouseele, B. De Rock, K. Dekimpe
Format: Article
Language:English
Published: SpringerOpen 2006-03-01
Series:Fixed Point Theory and Applications
Online Access:http://dx.doi.org/10.1155/FPTA/2006/63939