ANOSOV DIFFEOMORPHISMS ON A CLASS OF 2-STEP NILMANIFOLDS

KAREL DEKIMPE, SANDRA DESCHAMPS
2003 Glasgow Mathematical Journal  
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.
doi:10.1017/s001708950300123x fatcat:nzehyjtuojbhnanfplw2p33fbm