Combinatorial construction of tangent vector fields on spheres

DOI10.1134/S0001434608030279zbMath1169.57026MaRDI QIDQ2518007

A. A. Ognikyan

Publication date: 12 January 2009

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

Clifford algebraCayley numbercomposition of quadratic formsodd-dimensional sphereHurwitz-Radon numberHurwitz-Radon theoremindependent tangent vector fields

Mathematics Subject Classification ID

Vector fields, frame fields in differential topology (57R25) Clifford algebras, spinors (15A66) Quadratic and bilinear forms, inner products (15A63) Composition algebras (17A75)

Related Items (4)

Comparison of volumes of convex bodies in real, complex, and quaternionic spaces ⋮ Spheres with more than 7 vector fields: All the fault of \(\mathrm{Spin}(9)\) ⋮ A note on the construction of complex and quaternionic vector fields on spheres ⋮ A binary encoding of spinors and applications

Cites Work

• Unnamed Item
• Compositions of quadratic forms
• Canonical vector fields on spheres
• Absolute valued real algebras
• Gruppentheoretischer Beweis des Satzes von Hurwitz-Radon über die Komposition quadratischer Formen
• On Matrices Whose Real Linear Combinations are Nonsingular
• Infinite-Dimensional Quadratic Forms Admitting Composition
• Vector fields on spheres

This page was built for publication: Combinatorial construction of tangent vector fields on spheres