Representation of flat Lagrangian H-umbilical submanifolds in complex Euclidean spaces

The author proved earlier that, a Lagrangian //-umbilical submanifold in complex Euclidean -space with n>2 is either a complex extensor, a Lagrangian pseudo-sphere, or a flat Lagrangian //-umbilical submanifold. Explicit descriptions of complex extensors and of Lagrangian pseudo-spheres are given earlier. The purpose of this article is to complete the investigation of Lagrangian //-umbilical submanifolds in complex Euclidean spaces by establishing the explicit description of flat Lagrangian //-umbilical submanifolds in complex Euclidean spaces.