On the six-dimensional sphere with a nearly Kählerian structure (Q2199409)

The six-dimensional sphere \(S^6\) with the canonical nearly Kählerian structure plays an important role in Hermitian geometry. The author describes the scalar curvature of conharmonically para-Kählerian, nearly Kählerian manifold. The author also gets the Cartan structure equation of an almost contact metric structure on an orientable 2-hypersurface of the nearly Kählerian six-dimensional sphere. The work contains several references about the main results on the topic.