Glasgow Mathematical Journal



ANOSOV DIFFEOMORPHISMS ON A CLASS OF 2-STEP NILMANIFOLDS


KAREL DEKIMPE a1 and SANDRA DESCHAMPS a2
a1 Katholieke Universiteit Leuven, Campus Kortrijk B-8500 Kortrijk, Belgium e-mail: karel.dekimpe@kulak.ac.be
a2 Katholieke Universiteit Leuven, Campus Kortrijk B-8500 Kortrijk, Belgium

Abstract

In this paper we study nilmanifolds which are modeled on a quotient of a free 2-step nilpotent Lie group by a 1-dimensional subgroup. In fact we obtain a very easy criterion to decide whether or not such a nilmanifold admits an Anosov diffeomorphism.

(Received January 13 2002)
(Accepted September 16 2002)

Maths Classification

Primary 37D20; Secondary 20F18; 17B30.