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

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Abstract

It is proved by purely algebraic method that weakly conformai, conformai andA 3z = 0 are mutually equivalent if ϕ :Ω→ℂPn 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.

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Authors and Affiliations

  1. Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, 100080, Beijing, China

    Xiaoxiang Jiao

  2. Department of Mathematics, Graduate School, University of Science and Technology of China, 100039, Beijing, China

    Jiagui (Peng Chia-kuei) Peng

Authors
  1. Xiaoxiang Jiao
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  2. Jiagui (Peng Chia-kuei) Peng
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Correspondence to Xiaoxiang Jiao.

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Jiao, X., Peng, Jk. On non-isotropic harmonic maps of surfaces into complex projective spaces. Sci. China Ser. A-Math. 44, 555–561 (2001). https://doi.org/10.1007/BF02876703

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  • DOI: https://doi.org/10.1007/BF02876703

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