\(\text{Spin}(7)\)-structures in principal fibre bundles over Riemannian manifolds with \(G_ 2\)-structure (Q1897632)
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scientific article; zbMATH DE number 792941
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(\text{Spin}(7)\)-structures in principal fibre bundles over Riemannian manifolds with \(G_ 2\)-structure |
scientific article; zbMATH DE number 792941 |
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\(\text{Spin}(7)\)-structures in principal fibre bundles over Riemannian manifolds with \(G_ 2\)-structure (English)
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12 February 1996
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The author considers a manifold \(M\) with a \(G_2\)-structure and a principal fibre bundle with one-dimensional structure group over \(M\). He defines two Spin(7)-structures on the total bundle space \(M\) and he finds relations between the class of the Spin(7)-structure on \(\overline M\) and the class of the \(G_2\)-structure on \(M\). Using these results he produces examples of Spin(7)-structures.
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spin structure
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\(G\)-structure
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examples
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0.9104586
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0.90919644
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0.8948461
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0.8936917
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0.8933213
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