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Division algebras and fibrations of spheres by great spheres

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Publication:1838743
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DOI10.4310/jdg/1214436369zbMath0511.55016OpenAlexW1526821700WikidataQ115188159 ScholiaQ115188159MaRDI QIDQ1838743

Chung-Tao Yang

Publication date: 1981

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/jdg/1214436369

zbMATH Keywords

division algebraBlaschke manifold which has the integral cohomology ring of the quaternionic projective 2-spaceHopf fibration over the 4-spheresmooth great (n-1)-sphere fibration of the (2n-1)- sphere


Mathematics Subject Classification ID

Sphere bundles and vector bundles in algebraic topology (55R25) Global Riemannian geometry, including pinching (53C20)


Related Items

Differentiable fibrations of the (2n-1)-sphere by great (n-1)-spheres and their coordinatization over quasifields, Skew and sphere fibrations, Algebraic extensions of some results by Yang, Four-dimensional real division algebras with few derivations, Generalization of the Hopf commutative theorem, Duplication methods for embeddings of real division algebras, Division algebras, fibrations of spheres by great spheres and the topological determination of space by the gross behavior of its geodesics, Great circle fibrations of the three-sphere



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