通过李群、活动标架，以及调和映射来研究从S²到CPⁿ的共形极小浸入．首先，用一种新方法证明Bolton的一个定理，从S²到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 S²到CPⁿ的共形极小浸入来构造从S²到G_2,n+1的共形极小浸入；最后，如果φ 是从S²到CPⁿ 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RPⁿCPⁿ中．

In this paper, conformal minimal 2-sphere 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 S² into CPⁿ is uniquely determined by its induced metric, up to a rigid motion. Secondly, via conformal minimal immersions of constant curvature from S² into CPⁿ, we can construct new minimal immersions of S² in G_2,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 RPⁿ CP^n.