Minimal CR-submanifolds of a six-dimensional sphere (Q1345776)

A submanifold \(M\) of an almost Hermitian manifold is called a CR- submanifold if there exists a pair of orthogonal complementary distributions \(D\) and \(D^ \perp\) on \(M\) such that \(D\) is holomorphic and \(D^ \perp\) is totally real. In this article the authors derive three formulas for \(D\)-minimal CR-submanifolds and three formulas for \(D^ \perp\)-minimal CR-submanifolds in the nearly Kählerian 6-sphere \(S^ 6\).