\(J\)-holomorphic curves of a 6-dimensional sphere
The 6-sphere \(S^6= G_2/\text{SU}(3)\) where \(G_2\) is the group of automorphisms of the octonians can be given an almost Hermitian structure \((J,\prec,\succ)\) and it satisfies the nearly Kähler condition. A \(J\)-holomorphic curve is then a 2-dimensional almost complex submanifold of \(S^6\). This paper uses \(G_2\)-moving frame methods to study the differential geometry of a \(J\)-holomorphic curve, unifying the work of several authors.
scientific article; zbMATH DE number 1523374