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| EXPLICIT CONSTRUCTION FOR HARMONIC SURFACES IN U(N) VIA ADDING UNITONS |
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Citation： |
HE Qun,SHEN Yibing.EXPLICIT CONSTRUCTION FOR HARMONIC SURFACES IN U(N) VIA ADDING UNITONS[J].Chinese Annals of Mathematics B,2004,25(1):119~128 |
| Page view： 1092
Net amount： 818 |
Authors： |
HE Qun; SHEN Yibing |
Foundation： |
Project supported by the National Natural Science Foundation of China (No.12071106) and the Science
Foundation of the Ministry of Education of China. |
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| Abstract： |
The authors give an algebraic method to add uniton numbers for
harmonic maps from a simply connected domain $\Omega\subseteq
R^2\cup \{\infty \}$ into the unitary group $ U(N)$ with finite
uniton number. So, it is proved that any $n$-uniton can be
obtained from a $0$-uniton by purely algebraic operations and
integral transforms to solve the $ \bar{\partial }$-problem via
two different ways. |
Keywords： |
Uniton, Standard extended solution, AUN-flag factor |
Classification： |
53C20, 58F07 |
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