Orthogonal almost complex structures of hypersurfaces of purely imaginary octonions

DOI10.14492/HOKMJ/1288357973zbMath1206.53057OpenAlexW1965829937MaRDI QIDQ614285

Misa Ohashi, Hideya Hashimoto

Publication date: 27 December 2010

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

Full work available at URL: https://projecteuclid.org/euclid.hokmj/1288357973

zbMATH Keywords

octonions\(G_2\)-congruentalmost complex structur

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Global submanifolds (53C40) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)

Related Items (9)

The almost complex (para-complex) structures on 6-pseudo-Riemannian spheres and related Schrödinger flows ⋮ \(G_2\)-congruence theorem for curves in purely imaginary octonions and its application ⋮ On fibre bundle structures of Stiefel manifolds related to the octonions ⋮ The almost complex structure on 𝕊6 and related Schrödinger flows ⋮ On the automorphism groups of isoparametric hypersurfaces of \(S^7\) ⋮ \(\operatorname{Spin}(7)\)-structure equation and the vector elliptic Liouville equation ⋮ Orthogonal almost complex structures of oriented 6-dimensional submanifolds in the octonions and hypersurfaces in the purely imaginary octonions ⋮ On the vortex filament in 3-spaces and its generalizations ⋮ G2 fibre bundle structure on an oriented 3-dimensional manifold

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