The Kustaanheimo-Stiefel map, the Hopf fibration and the square root map on \(\mathbb R^{3}\) and \(\mathbb R^{4}\) (Q882044)
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scientific article; zbMATH DE number 5156452
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Kustaanheimo-Stiefel map, the Hopf fibration and the square root map on \(\mathbb R^{3}\) and \(\mathbb R^{4}\) |
scientific article; zbMATH DE number 5156452 |
Statements
The Kustaanheimo-Stiefel map, the Hopf fibration and the square root map on \(\mathbb R^{3}\) and \(\mathbb R^{4}\) (English)
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23 May 2007
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An explicitly defined mapping called the Kustaanheimo-Stiefel map is described. This mapping is related with the Hopf fibration \(S^3 \to S^2\), generalizing the complex squaring map \(z \to z^2\) and not quaternion multiplication.
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Hopf map
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quaternionic structures
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