Science in China Series A: Mathematics

, Volume 44, Issue 5, pp 555–561 | Cite as

On non-isotropic harmonic maps of surfaces into complex projective spaces



It is proved by purely algebraic method that weakly conformai, conformai andA z 3 = 0 are mutually equivalent if ϕ :Ω→ℂP n is a non-isotropic harmonic map and the harmonic maps with isotropy order ≥3 are uniquely determined by a system of ordinary differential equations. A method is given, by which the isotropy orders of non-isotropic harmonic maps can be computed.


non-isotropic harmonic map weakly conformai nilpotent isotropy order AdG orbit 


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Copyright information

© Science in China Press 2001

Authors and Affiliations

  1. 1.Institute of MathematicsAcademy of Mathematics and Systems Science, Chinese Academy of SciencesBeijingChina
  2. 2.Department of Mathematics, Graduate SchoolUniversity of Science and Technology of ChinaBeijingChina

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