Orthogonal almost complex structures of oriented 6-dimensional submanifolds in the octonions and hypersurfaces in the purely imaginary octonions

DOI10.1016/J.DIFGEO.2011.04.045zbMath1225.53055OpenAlexW1974899418WikidataQ115356833 ScholiaQ115356833MaRDI QIDQ719848

Misa Ohashi, Hideya Hashimoto

Publication date: 12 October 2011

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

Full work available at URL: https://doi.org/10.1016/j.difgeo.2011.04.045

zbMATH Keywords

almost complex structureoctonions\(G_{2}\)Spin(7)-congruent

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)

Cites Work

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• Submanifolds and special structures on the octonians
• Orthogonal almost complex structures of hypersurfaces of purely imaginary octonions
• Calibrated geometries
• Extrinsic homogeneous almost Hermitian 6-dimensional submanifolds in the octonions
• Minimal submanifolds of low cohomogeneity

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