摘要
For all minimal immersions of the 2-sphere S<sup>2</sup> into the unit 2m-sphere S<sup>2m</sup>with area 2π[m(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 S<sup>2m</sup>because the parameters concerned are independent of each other.Particular examples are given and a classification theorem is also obtained.
For all minimal immersions of the 2-sphere S<sup>2</sup> into the unit 2m-sphere S<sup>2m</sup>with area 2π[m(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 S<sup>2m</sup>because the parameters concerned are independent of each other.Particular examples are given and a classification theorem is also obtained.
基金
Supported by NNSF of China and NSF of Henan