ISSN 1002-1027  CN 11-2952/G2

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

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.