Compact Riemannian 7-manifolds with holonomy \(G_ 2\). I (Q1915937)
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scientific article; zbMATH DE number 895027
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Compact Riemannian 7-manifolds with holonomy \(G_ 2\). I |
scientific article; zbMATH DE number 895027 |
Statements
Compact Riemannian 7-manifolds with holonomy \(G_ 2\). I (English)
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13 May 1997
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The author gives the first nontrivial example of an odd-dimensional compact Ricci-flat Riemannian manifold. He describes a certain simply connected, compact 7-manifold \(M\), and constructs a family of metrics on it with holonomy group \(G_2\).
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compact Ricci-flat manifold
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holonomy group
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