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

被引:0
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作者
Xiaoxiang Jiao
Jiagui (Peng Chia-kuei) Peng
机构
[1] Academy of Mathematics and Systems Science,Institute of Mathematics
[2] Chinese Academy of Sciences,Department of Mathematics, Graduate School
[3] University of Science and Technology of China,undefined
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关键词
non-isotropic harmonic map; weakly conformai; nilpotent; isotropy order; Ad; orbit;
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摘要
It is proved by purely algebraic method that weakly conformai, conformai andAz3 = 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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页码:555 / 561
页数:6
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