中文摘要：

通过李群、活动标架，以及调和映射来研究从S^2到CP^n的共形极小浸入．首先，用一种新方法证明Bolton的一个定理，从S^2到CP^n的全纯曲线在差一个刚动的情况下由度量唯一决定；其次，利用从S^2到CP^n的共形极小浸入来构造从S^2到C2,n＋1的共形极小浸入；最后，如果φ是从S^2到CP^n的全实共形极小浸入，且φ是常曲率的，则可以找出具体的等距变换g，使得gφ包含在RP^n包含CP^n中．

英文摘要：

In this paper, conformal minimal 2-spheres immersed in a complex projective space are studied by applying Lie theory, moving frame and harmonic sequence. First, we use a different way from Bolton to prove that a holomorphic curve from S^2 into CPn is uniquely determined by its induced metric, up to a rigid motion. Secondly, via conformal minimal immersions of constant curvature from S^2 into CPn , we can construct new minimal immersions of S^2 in G2,n＋1, n ＋ 1 with constant curvature. Finally, if φ is a totally real conformal minimal 2-sphere of constant curvature immersed in a complex projective space, then we can find the explicit isometry transform g such that gφ lies in RP^n comprise CP^n.