COMPLEX CAYLEY STRUCTURES ON SPHERES S2,4 AND S3,3.

DOI10.17223/19988621/53/3zbMath1506.53041OpenAlexW3100600289WikidataQ128569010 ScholiaQ128569010MaRDI QIDQ5042949

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Publication date: 26 October 2022

Published in: Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vtgu647

zbMATH Keywords

almost complex structureCayley algebravector productsplit-octonionsalmost para-complex structuresplit Cayley algebrasix-dimensional pseudo-Riemannian spheres

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)

Related Items (3)

The almost complex (para-complex) structures on 6-pseudo-Riemannian spheres and related Schrödinger flows ⋮ Degenerate multilinear forms and Hermitian and para-Hermitian structures ⋮ The bundle of paracomplex structures

Cites Work

• Homogeneous almost complex structures in dimension 6 with semi-simple isotropy
• The geometry of three-forms in six dimensions.
• On the history of the Hopf problem
• \(S^6\) and the geometry of nearly Kähler 6-manifolds
• Homogeneous para-Kähler Einstein manifolds
• Vector Cross Products on Manifolds
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