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›› 2009, Vol. 26 ›› Issue (1): 30-36.DOI: 10.7523/j.issn.2095-6134.2009.1.005

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The homogeneous furfaces in CPn

Chen Mian, Xiao Liang   

  1. School of Mathmatical Sciences, Graduate University of the Chinese Academy of Sciences, Beijing 100049, China
  • Received:1900-01-01 Revised:1900-01-01 Online:2009-01-15

Abstract: We study the homogeneous surfaces by the method of isometric groups. In this paper, we classify the homogeneous surfaces in CP2 with the isometric transformation group of diemnsion equal to 2 and classify the homogeneous surfaces in CP2 by the methods of Lie groups and moving frames.

Key words: homogeneous surfaces, structure equations, Gaussian curvature