Grundhöfer, TheoHähl, Hermann2009-07-172016-03-312009-07-172016-03-311990314562966http://nbn-resolving.de/urn:nbn:de:bsz:93-opus-41373http://elib.uni-stuttgart.de/handle/11682/6988http://dx.doi.org/10.18419/opus-6971The 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.eninfo:eu-repo/semantics/openAccessSphärische Faserung510Fibrations of spheres by great spheres over division algebras and their differentiabilityarticle2013-05-08