On six-dimensional Kahlerian and nearly-Kahlerian submanifolds of Cayley algebra

We consider six-dimensional Kahlerian and nearly-Kahlerian submanifolds of Cayley algebra. Spectra of some classical tensors of such submanifolds of the octave algebra are computed. It is proved that a nearly-Kahlerian six-dimensional submanifold of Cayley algebra is conharmonically at if and only if it is holomorphically isometric to the complex Euclidean space C3 with a canonical Kahlerian structure. It is also proved that the Bochner-Ricci-recurrent nearly-Kahlerian six-dimensional submanifold of Cayley algebra is either Bochner-symmetric or locally holomorphically isometric to the manifold of the type M2  C2 equipped with the canonical Kahlerian structure.