Fibrations of spheres by great spheres over division algebras and their differentiability
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Date
1990
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Abstract
The authors answer the natural question: When is the fibration of S {2n-1} by great (n-1)-spheres determined by a division algebra differentiable? They show that this happens only for the classical Hopf fibrations, which are determined by the classical division algebras R, C, H and O.