Minimal dimensions for flat manifolds with prescribed holonomy

DOI10.1080/00927879408824913zbMath0813.20041OpenAlexW2065424698MaRDI QIDQ4288276

Hongliu Zheng

Publication date: 5 June 1994

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927879408824913

zbMATH Keywords

extensionsfundamental groupsholonomyflat manifoldsBetti numberselementary abelian groupsfaithful integral \(ZH\)- latticesprimitive manifolds

Mathematics Subject Classification ID

Integral representations of finite groups (20C10) Global differential geometry (53C99) Other geometric groups, including crystallographic groups (20H15) Fundamental groups and their automorphisms (group-theoretic aspects) (20F34) Specialized structures on manifolds (spin manifolds, framed manifolds, etc.) (57R15)

Cites Work

• Unnamed Item
• Localization in the classification of flat manifolds
• Minimal dimensions for flat manifolds with prescribed holonomy
• HOLONOMY OF FLAT MANIFOLDS WITH b₁ = 0

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