The Kustaanheimo-Stiefel map, the Hopf fibration and the square root map on \(\mathbb R^{3}\) and \(\mathbb R^{4}\)

DOI10.1016/j.jmaa.2006.09.079zbMath1123.53024OpenAlexW2021427872MaRDI QIDQ882044

Mohamed Sami ElBialy

Publication date: 23 May 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.09.079

zbMATH Keywords

Hopf mapquaternionic structures

Mathematics Subject Classification ID

Sphere bundles and vector bundles in algebraic topology (55R25) Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26)

Related Items (2)

Integrability of close encounters in the spatial restricted three-body problem ⋮ Collective branch regularization of simultaneous binary collisions in the 3D N-body problem

Cites Work

• Quaternions and the perturbed Kepler problem
• The KS-transformation revisited
• Collision-ejection manifold and collective analytic continuation of simultaneous binary collisions in the planar \(N\)-body problem
• NON-PARALLELIZABILITY OF THE n-SPHERE FOR n > 7
• Perturbation theory of Kepler motion based on spinor regularization.
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