A Users' Guide to Infra-nilmanifolds and Almost-Bieberbach groups

zbMath1441.37039arXiv1603.07654MaRDI QIDQ3119389

Karel Dekimpe

Publication date: 11 March 2019

Full work available at URL: https://arxiv.org/abs/1603.07654

zbMATH Keywords

nilpotent Lie algebraproperly discontinuous actionAnosov diffeomorphismNielsen fixed point theoryinfra-nilmanifoldexpanding mapflat manifold(almost) crystallographic group(rational) Mal'cev completionnilpotent (Lie) group

Mathematics Subject Classification ID

Homogeneous spaces (22F30) Nilpotent groups (20F18) Nilpotent and solvable Lie groups (22E25) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Solvable, nilpotent (super)algebras (17B30) Algebraic topology on manifolds and differential topology (57R19)

Related Items (5)

Nielsen numbers of affine \(n\)-valued maps on nilmanifolds ⋮ Nilpotent Cantor actions ⋮ The Dirac operator under collapse to a smooth limit space ⋮ Reidemeister spectra for solvmanifolds in low dimensions ⋮ On closed manifolds admitting an Anosov diffeomorphism but no expanding map

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