Model aspherical manifolds with no periodic maps

DOI10.1090/S0002-9947-98-02266-1zbMath0915.57017OpenAlexW1532565312MaRDI QIDQ4211167

Wim Malfait

Publication date: 10 September 1998

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-98-02266-1

zbMATH Keywords

aspherical manifoldBieberbach groupinfra-nilmanifoldconstructionSeifert fiber spaceperiodic mapflat Riemannian manifoldeffective group actioninfra-solvmanifold of type \((R)\)

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Finite transformation groups (57S17) Other geometric groups, including crystallographic groups (20H15) Fundamental groups and their automorphisms (group-theoretic aspects) (20F34)

Related Items (2)

A Flat Manifold with No Symmetries ⋮ Anosov diffeomorphisms of products II. Aspherical manifolds

Cites Work

• Bieberbach's theorems on space groups and discrete uniform subgroups of Lie groups
• Infinite soluble groups with no outer automorphisms
• Topological, affine and isometric actions on flat Riemannian manifolds
• Extensions realising a faithful abstract kernel and their automorphisms
• Five dimensional Bieberbach groups with trivial centre
• Nielsen's theorem for model aspherical manifolds
• Almost-Bieberbach groups: affine and polynomial structures
• THE SEIFERT CONSTRUCTION AND ITS APPLICATIONS TO INFRANILMANIFOLDS
• HOLONOMY OF FLAT MANIFOLDS WITH b₁ = 0
• Closed 3-Manifolds With no Periodic Maps
• Determining the translational part of the fundamental group of an infra-solvmanifold of type (R)
• INFRA-SOLVMANIFOLDS OF TYPE (R)
• Representing the automorphism group of an almost crystallographic group
• Ergodic Properties of Affine Transformations and Flows on Nilmanifolds
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