Generalized Hantzsche-Wendt flat manifolds. (Q2493584)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Generalized Hantzsche-Wendt flat manifolds. |
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Generalized Hantzsche-Wendt flat manifolds. (English)
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21 June 2006
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Summary: We study the family of closed Riemannian \(n\)-manifolds with holonomy group isomorphic to \(\mathbb{Z}_2^{n-1}\), which we call generalized Hantzsche-Wendt manifolds. We prove results on their structure, compute some invariants, and find relations between them, illustrated in a graph connecting the family.
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flat manifold
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Bieberbach group
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holonomy representation
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