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arXiv · 1702.08821

Classification of special Anosov endomorphisms of nil-manifolds

Seyed Mohsen Moosavi·Khosro Tajbakhsh
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Abstract

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 $A$.

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Seyed Mohsen Moosavi, Khosro Tajbakhsh. 2018-02-06. Classification of special Anosov endomorphisms of nil-manifolds. https://arxiv.org/abs/1702.08821

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