Oriented 6-dimensional submanifolds in the octonians, III
Hideya Hashimoto1
Received11 May 1993
Revised27 Sept 1993
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.