Two classes of slant surfaces in the nearly Kähler six sphere

Abstract

In this paper we find examples of slant surfaces in the nearly Kähler six sphere. First, we characterize two-dimensional small and great spheres which are slant. Their description is given in terms of the associative 3-form in Im O. Later on, we classify the slant surfaces of S6 which are orbits of a maximal torus in G2. Among them we find a one parameter family of minimal orbits with arbitrary slant angle.