Acta Scientiarum Naturalium Universitatis Pekinensis

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Harmonic Two spheres in CPn with Antipodal Symmetry and Complementation

MO Xiaohuan   

  1. Department of Mathematics, School of Mathematical Sciences, Peking University, Beijing, 100871
  • Received:1996-01-17 Online:1997-05-20 Published:1997-05-20



  1. 北京大学数学学院数学系,北京,100871

Abstract: Characterizations are proved for those harmonic maps from S2 into CPn or RPn with few higher order singularities to be antipodal symmetry and complementation, using properties of directrix curves.

Key words: sphere, harmonic map, higher order singularity

摘要: 利用准线的性质,刻画了从S2到CPn和RPn的具有少量高阶奇点的调和映射为对映对称和对映互补的特征。

关键词: 球面, 调和映射, 高阶奇点

CLC Number: