Anosov diffeomorphisms of flat manifolds

DOI10.1016/0040-9383(72)90016-XzbMath0237.58015OpenAlexW2084708420MaRDI QIDQ2552732

Hugh L. Porteous

Publication date: 1972

Published in: Topology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0040-9383(72)90016-x

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Differential topological aspects of diffeomorphisms (57R50) Dynamical systems with hyperbolic behavior (37D99)

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Holonomy groups of Bieberbach groups with finite outer automorphism groups ⋮ 3-manifolds that admit knotted solenoids as attractors ⋮ Crystallographic groups and flat manifolds from surface braid groups ⋮ Anosov diffeomorphisms on infra‐nilmanifolds associated to graphs ⋮ Virtual braid groups, virtual twin groups and crystallographic groups ⋮ Constructing infra-nilmanifolds admitting an Anosov diffeomorphism ⋮ Hyperbolic automorphisms and Anosov diffeomorphisms on nilmanifolds ⋮ Lagrangian foliations and Anosov symplectomorphisms on Kähler manifolds ⋮ A new method for constructing Anosov Lie algebras ⋮ Nilmanifolds of dimension ≤8 admitting Anosov diffeomorphisms ⋮ Examples of Anosov diffeomorphisms ⋮ Spin structures on flat manifolds ⋮ Common fixed points of commuting holomorphic maps of the polydisc which are expanding on the torus ⋮ On Bieberbach subgroups of \(B _n/[P _n,P _n\) and flat manifolds with cyclic holonomy \(\mathbb{Z}_{2^d}\)] ⋮ Almost-Bieberbach groups with (in)finite outer automorphism group ⋮ Anosov diffeomorphisms of products II. Aspherical manifolds ⋮ Remarks on a theorem of Hugh L. Porteous concerning Anosov diffeomorphisms of flat manifolds ⋮ Bieberbach groups and flat manifolds with finite abelian holonomy from Artin braid groups

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