CP^n中的齐性曲面

The homogeneous surfaces in CP^n

从齐性曲面的等距群出发,讨论CPn中的齐性曲面,得到了CPn中等距群为2维的齐性曲面的分类,并且用李群与活动标架相结合的方法给出了CP2中齐性曲面的分类定理的证明.

We study the homogeneous surfaces by the method of isometric groups. In this paper, we classify the homogeneous surfaces in C P^2 with the isometric transformation group of dimension equal to 2 and classify the homogeneous surfaces in CP^2 by the methods of Lie groups and moving frames.