Best pair of two skew lines over the octonions

DOI10.1007/s00006-015-0527-zzbMath1325.51024OpenAlexW2060955051WikidataQ57867175 ScholiaQ57867175MaRDI QIDQ497165

Yong-Cai Geng, Sumit K. Garg

Publication date: 23 September 2015

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10316/80262

zbMATH Keywords

orthogonal projectionbest approximation pairdouble vector cross product in \(\mathbb{R}^7\)inner product of octonionsoctonion equation of a lineparallel and perpendicular octonions

Mathematics Subject Classification ID

Analytic and descriptive geometry (51N99) Nonassociative division algebras (17A35)

Cites Work

• Warped radion dark matter
• The hierarchy problem and new dimensions at a millimeter
• Composition algebras and their automorphisms
• The triple cross product in \(\mathbb{R}^7\)
• Vector cross products
• Vector cross products inndimensions
• The geometry of hypercomplex matrices
• Large Mass Hierarchy from a Small Extra Dimension
• The octonions
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