\(G_{2}\) and \(\mathrm{SO}(4)\)-invariants for curves in 4-dimensional Euclidean space included in purely imaginary octonions

DOI10.1016/J.TOPOL.2015.05.046zbMath1331.53012OpenAlexW623356338MaRDI QIDQ898515

Misa Ohashi

Publication date: 18 December 2015

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2015.05.046

zbMATH Keywords

\(G_2\)-congruenthelix of 4-dimensional Euclidean space

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Curves in Euclidean and related spaces (53A04) Nonassociative division algebras (17A35)

Cites Work

• \(G_2\)-congruence theorem for curves in purely imaginary octonions and its application
• On fibre bundle structures of Stiefel manifolds related to the octonions
• THE RELATIONSHIPS BETWEEN G₂-INVARIANTS AND SO(7)-INVARIANTS OF CURVES IN Im ℭ
• On some 3-dimensional CR submanifolds inS⁶
• ON G₂-INVARIANTS OF CURVES IN PURELY IMAGINARY OCTONIONS

This page was built for publication: \(G_{2}\) and \(\mathrm{SO}(4)\)-invariants for curves in 4-dimensional Euclidean space included in purely imaginary octonions