Classification of special Anosov endomorphisms of nil-manifolds

Seyed Mohsen Moosavi; Khosro Tajbakhsh

Classification of special Anosov endomorphisms of nil-manifolds

Dynamical Systems 2018-02-07 v4

Authors: Seyed Mohsen Moosavi , Khosro Tajbakhsh

Abstract

In this paper we give a classification of special endomorphisms of nil-manifolds: Let $f:N/\Gamma \rightarrow N/\Gamma$ be a covering map of a nil-manifold and denote by $A:N/\Gamma \rightarrow N/\Gamma$ 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 $A$ .

Keywords

Anosov endomorphisms nil-manifolds topological conjugacy hyperbolic nil-endomorphism TA-map classification

Cite

@article{arxiv.1702.08821,
  title  = {Classification of special Anosov endomorphisms of nil-manifolds},
  author = {Seyed Mohsen Moosavi and Khosro Tajbakhsh},
  journal= {arXiv preprint arXiv:1702.08821},
  year   = {2018}
}

Comments

23 pages. arXiv admin note: text overlap with arXiv:1008.4500 by other authors

Classification of special Anosov endomorphisms of nil-manifolds

Abstract

Keywords

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