On almost complex curves and Hopf hypersurfaces in the nearly Kähler six-sphere

We study the almost complex curves and Hopf hypersurfaces in the nearly Kähler S 6 (1), and their relations. For Hopf hypersurfaces, we give a classification theorem under some additional conditions. For compact almost complex curves, we obtain some interesting global results with respect to Gaussian curvature, area and the genus.