Existence of Anosov diffeomorphisms on infra-nilmanifolds modeled on free nilpotent Lie groups
Existence of Anosov diffeomorphisms on infra-nilmanifolds modeled on free nilpotent Lie groups
An infra-nilmanifold is a manifold which is constructed as a~quotient space $\Gamma\setminus G$ of a simply connected nilpotent Lie group $G$, where $\Gamma$ is a discrete group acting properly discontinuously and cocompactly on~$G$ via so called affine maps. The manifold $\Gamma\setminus G$ is said to be modeled on the Lie …