Hopf fibrations and Hurwitz-Radon numbers
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Publication:517911
DOI10.1007/s00283-015-9618-xzbMath1372.55001OpenAlexW2415733790MaRDI QIDQ517911
Valentin Ovsienko, Sergei Tabachnikov
Publication date: 28 March 2017
Published in: The Mathematical Intelligencer (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00283-015-9618-x
Sphere bundles and vector bundles in algebraic topology (55R25) History of mathematics in the 20th century (01A60) Foliations in differential topology; geometric theory (57R30) Elementary number theory (11A99) Research exposition (monographs, survey articles) pertaining to algebraic topology (55-02) History of algebraic topology (55-03)
Related Items
Geodesic fibrations for packing diabolic domains, Coupled embeddability, Skew and sphere fibrations, On Ramanujan's cubic composition formula, Spaces of embeddings: Nonsingular bilinear maps, chirality, and their generalizations, Spectral properties of nonassociative algebras and breaking regularity for nonlinear elliptic type PDEs, Fibrations of \(\mathbb{R}^3\) by oriented lines, Split-Hopf fibrations
Uses Software
Cites Work
- On the non-existence of elements of Hopf invariant one
- Skew flat fibrations
- Great circle fibrations of the three-sphere
- Compositions of quadratic forms
- Über die Abbildungen der dreidimensionalen Sphäre auf die Kugelfläche
- The Hopf fibration --- seven times in physics
- On the parallelizability of the spheres
- NON-PARALLELIZABILITY OF THE n-SPHERE FOR n > 7
- Global smooth fibrations of ℝ3 by oriented lines
- On fibrations with flat fibres
- Vector fields on spheres
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