Seyed Mohsen Moosavi

Classification of special Anosov endomorphisms of nil-manifolds

In this paper we give a classification of special endomorphisms of nil-manifolds: Let $f:N/Γ\rightarrow N/Γ$ be a covering map of a nil-manifold and denote by $A:N/Γ\rightarrow N/Γ$ the nil-endomorphism which is homotopic to $f$. If $f$ is a special $TA$-map, then $A$ is a hyperbolic nil-endomorphism and $f$ is topologically conjugate to $A$.