The Hopf fibration over \(S^ 8\) admits no \(S^ 1\)-subfibration
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Publication:1196962
DOI10.1016/0040-9383(92)90018-DzbMath0766.57017MaRDI QIDQ1196962
Alberto Verjovsky, Bonaventure Loo
Publication date: 16 January 1993
Published in: Topology (Search for Journal in Brave)
Sphere bundles and vector bundles in algebraic topology (55R25) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Topology of vector bundles and fiber bundles (57R22) Fiber bundles in algebraic topology (55R10) PL-topology (57Q99)
Related Items (4)
\(\mathrm{Spin}(9)\) geometry of the octonionic Hopf fibration ⋮ Spheres with more than 7 vector fields: All the fault of \(\mathrm{Spin}(9)\) ⋮ Generalized Hopf fibration and geometric \(\mathrm{SO}(3)\) reduction of the \(4\mathrm{DOF}\) harmonic oscillator ⋮ The role of \(\mathrm{Spin}(9)\) in octonionic geometry
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