Acta Scientiarum Naturalium Universitatis Pekinensis

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New Characterization of Pseudo-holomorphic Curves in CPn in Terms of the An-Toda Equations

MO Xiaohuan   

  1. School of Mathematical Sciences, Peking University, Beijing, 100871
  • Received:1997-04-28 Online:1998-09-20 Published:1998-09-20



  1. 北京大学数学学院,北京,100871

Abstract: The relation between solutions of the Toda equations for SU(n+1) and pseudo-holomorphicity of the harmonic surfaces in CPn are given. We show that any harmonic two-spheres in CPn give a solution to the An-Toda equations.

Key words: complex projective space, An-Toda equation, Pseudo-holomorphic curves

摘要: 给出了对于SU(n+1)的Toda方程与CPn中调和曲面的伪全纯性的关系。并证得了CPn中每一2维调和球给出了An-Toda方程的解。

关键词: 复射影空间, An-Toda方程, 伪全纯曲线

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