Oriented 6-dimensional submanifolds in the octonians, III

Hideya Hashimoto

International Journal of Mathematics and Mathematical Sciences, 1995, vol. 18, 1-10

Abstract:

In this paper, we classify 6-dimensional almost Hermitian submanifolds in the octonians 𝕆 according to the classification introduced by A. Gray and L. Hervella. We give new examples of quasi-Käthler and ∗ -Einstein submanifolds in 𝕆 . Also, we prove that a 6-dimensional weakly ∗ -Einstein Hermitian submanifold in 𝕆 is totally geodesic.

Date: 1995
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:892584

DOI: 10.1155/S0161171295000159

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