Topological and affine classification of complete noncompact flat 4-manifolds

DOI10.1016/J.GEOMPHYS.2008.07.003zbMath1154.53022OpenAlexW2042627059MaRDI QIDQ955119

Michał Sadowski

Publication date: 18 November 2008

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2008.07.003

zbMATH Keywords

holonomy groupBieberbach groupcomplete flat 4-manifoldtopological and affine classification

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) General geometric structures on low-dimensional manifolds (57M50) Topology of vector bundles and fiber bundles (57R22)

Related Items (1)

\(K\)-theory of noncommutative Bieberbach manifolds

Uses Software

• CARAT

Cites Work

• Bieberbach groups and flat manifolds
• Diffeomorphism of total spaces and equivalence of bundles
• Affinely equivalent complete flat manifolds
• Topological structure of complete Riemannian manifolds with cyclic holonomy groups
• Computation of Five-and Six-Dimensional Bieberbach Groups
• Stable equivalence of differentiable manifolds
• Vector Bundles with No Soul
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