Hopf fibrations and Hurwitz-Radon numbers

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

zbMATH Keywords

Hopf fibrationsaffine Hopf fibrationsHurwitz-Radon numbers

Mathematics Subject Classification ID

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

• OEIS

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
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item