Holonomy groups of five dimensional Bieberbach groups

DOI10.1007/BF02568313zbMath0863.20022MaRDI QIDQ1817361

Andrzej Szczepański

Publication date: 3 June 1997

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/156200

zbMATH Keywords

holonomy groupstorsion free crystallographic groupsfive-dimensional Bieberbach groupsgroups of orientation-preserving isometries

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Fundamental group, presentations, free differential calculus (57M05) Other geometric groups, including crystallographic groups (20H15) Discontinuous groups of transformations (57S30)

Related Items (2)

The action of matrix groups on aspherical manifolds ⋮ Computation of Five-and Six-Dimensional Bieberbach Groups

Cites Work

• Unnamed Item
• Bieberbach groups and flat manifolds
• Localization in the classification of flat manifolds
• Covolume estimates for discrete groups of hyperbolic isometries having parabolic elements
• Five dimensional Bieberbach groups with trivial centre
• HOLONOMY OF FLAT MANIFOLDS WITH b₁ = 0, II

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