Four Dimensional CR-Submanifolds of the Six-Dimensional Sphere PDF

Keywords

four dimensional, curvature, six-dimensional sphere

Abstract

We consider 4-dimensional CR-Submanifolds of constant curvature in the six-dimensional sphere. We proved that such submanifolds does not exist if the holomorphic distribution is parallel. We also proved that the integral submanifold of the holomorphic distribution is totally geodesic.