Vector product on a seven-dimensional manifold (Q1058147)
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scientific article; zbMATH DE number 3899682
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Vector product on a seven-dimensional manifold |
scientific article; zbMATH DE number 3899682 |
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Vector product on a seven-dimensional manifold (English)
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1984
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One shows that on a seven-dimensional Riemannian manifold \(M_ 7\) there exists the vector product if and only if the second Stiefel-Whitney class of the tangent bundle vanishes. On such a manifold the operator rot is defined and by means of this a necessary condition for the conformal embedding of \(M_ 7\) into the Euclidean space \(R_{10}\) is given.
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vector product
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second Stiefel-Whitney class
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conformal embedding
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