Explicit Representations of Minimal Immersions of 2-Spheres into S^2m

For all minimal immersions of the 2-sphere S^2 into the unit 2m-sphere S2m with area 2 . [(m+1)+2], we are able to give an explicit representation by some real parameters. This representation is rather important in the study of minimal 2-spheres in S2m because the parameters concerned are independent of each other. Particular examples are given and a classification theorem is also obtained.