Compact flat manifolds with holonomy group 𝐙₂⊕𝐙₂

DOI10.1090/S0002-9939-96-03633-7zbMath0864.53027OpenAlexW1555812816MaRDI QIDQ4896168

P. A. Tirao, Juan Pablo Rossetti

Publication date: 8 June 1997

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-96-03633-7

zbMATH Keywords

flat manifoldsBieberbach groupszero first Betti number

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Issues of holonomy in differential geometry (53C29) Fundamental group, presentations, free differential calculus (57M05) Discontinuous groups of transformations (57S30)

Related Items (4)

\({\mathbb{Z}}_2^k\)-manifolds are isospectral on forms ⋮ The geometry of a bi-Lagrangian manifold ⋮ Quaternion Kähler flat manifolds ⋮ Compact flat manifolds with holonomy group \(\mathbb Z_2\oplus\mathbb Z_2\). II

Cites Work

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• Bieberbach groups and flat manifolds
• Isospectral compact flat manifolds
• Manifolds with holonomy group \(Z_2\oplus Z_2\) and first Betti number zero
• Integral Representations of Cyclic Groups of Prime Order
• Cohomology of Bieberbach groups
• HOLONOMY OF FLAT MANIFOLDS WITH b₁ = 0

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