Decomposition of flat manifolds

DOI10.1112/S0025579300012018zbMath0876.20030MaRDI QIDQ4346290

Andrzej Szczepański

Publication date: 23 November 1997

Published in: Mathematika (Search for Journal in Brave)

zbMATH Keywords

finite groupsfundamental groupsholonomy groupsBieberbach groupsmaximal Abelian subgroupscompact flat Riemannian manifolds

Mathematics Subject Classification ID

Other geometric groups, including crystallographic groups (20H15) Fundamental groups and their automorphisms (group-theoretic aspects) (20F34) (G)-structures (53C10) Classification of fiber spaces or bundles in algebraic topology (55R15)

Related Items (5)

Profinite genus of the fundamental groups of compact flat manifolds with holonomy group of prime order ⋮ Flat Riemannian Manifolds as Torus Bundles ⋮ Problems on Bieberbach groups and flat manifolds ⋮ Spin structures on flat manifolds ⋮ Fibering flat manifolds of diagonal type and their fundamental groups

Cites Work

• Localization in the classification of flat manifolds
• Flat Riemannian manifolds are boundaries
• HOLONOMY OF FLAT MANIFOLDS WITH b₁ = 0
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