What an infra-nilmanifold endomorphism really should be \dots

zbMath1312.37027arXiv1008.4500MaRDI QIDQ1947832

Karel Dekimpe

Publication date: 26 April 2013

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1008.4500

zbMATH Keywords

nilpotent Lie groupAnosov diffeomorphisminfra-nilmanifoldexpanding mapaffine map

Mathematics Subject Classification ID

Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Fundamental groups and their automorphisms (group-theoretic aspects) (20F34)

Related Items (12)

Exponential mixing and smooth classification of commuting expanding maps ⋮ Periodic and eventually periodic points of affine infra-nilmanifold endomorphisms ⋮ Polynomial global product structure ⋮ Anosov diffeomorphisms on infra‐nilmanifolds associated to graphs ⋮ On codimension one special Anosov endomorphisms ⋮ Notes on Global Product Structure ⋮ ROBUST SPECIAL ANOSOV ENDOMORPHISMS ⋮ Exponential mixing of nilmanifold automorphisms ⋮ Locally connected Smale spaces, pinched spectrum, and infra-nilmanifolds ⋮ A new method for constructing Anosov Lie algebras ⋮ Classification of special Anosov endomorphisms of nil-manifolds ⋮ On the density of Birkhoff sums for Anosov diffeomorphisms

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