The Kustaanheimo-Stiefel map, the Hopf fibration and the square root map on \(\mathbb R^{3}\) and \(\mathbb R^{4}\)
type: Item
instance of: scholarly article
title: The Kustaanheimo-Stiefel map, the Hopf fibration and the square root map on \(\mathbb R^{3}\) and \(\mathbb R^{4}\)
zbMATH Open document ID: 1123.53024
published in: Journal of Mathematical Analysis and Applications
publication date: 2007-05-23T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 53C26
Mathematics Subject Classification ID: 55R25
zbMATH DE Number: 5156452
zbMATH Keywords: Hopf map
zbMATH Keywords: quaternionic structures
author: Mohamed Sami ElBialy
MaRDI profile type: Publication
full work available at URL: j.jmaa.2006.09.079
OpenAlex ID: W2021427872
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DOI: 10.1016/J.JMAA.2006.09.079
description: scientific article; zbMATH DE number 5156452