| ON HARMONIC MAPS INTO SYMPLECTIC GROUPS Sp（N） |
| |
| 作者姓名： | HE Qun SHEN Yibing |
| |
| 作者单位： | HE QUN，SHEN YIBING Department of Applied Mathematics，Tongji University，Shanghai 200092，China. E-mail: qun-he@ 163.com Department of Mathematics，West-Brook，Zhejiang University，Hangzhou 310028，China.E-mail:ybsh@ mail.hz.zj.cn. |
| |
| 基金项目： | Project supported by the National Natural Science Foundation of China (No.19531050)，the Scientific Foundation of the Minnstr |
| |
| 摘 要： | 50. IntroductionThe construction and the factorization of harmonic maps from R2 (or its simPlyconnecteddomain) into the uIiltary group U(N) were firstly solved by K.Ulilenbeck in 11, wherethe conception of unitons was iniroduced. Since then various developmenis have beencoatributed2--5]. Recently, by introducing (singular) Darboux transformations, a purelya1gebraic method to construct harmonic maPs and unitons illto U(N) has been shownin t6'7]. This method can be aIso aPplied to the ca…
|
| 关 键 词： | 调和映射 辛群 达布变换 因式分解 酉群 |
| 收稿时间： | 1999/11/17 0:00:00 |
| 修稿时间： | 2000/7/18 0:00:00 |
ON HARMONIC MAPS INTO SYMPLECTIC GROUPS $Sp(N)$ |
| |
| HE Qun,SHEN Yibing.ON HARMONIC MAPS INTO SYMPLECTIC GROUPS $Sp(N)$[J].Chinese Annals of Mathematics,Series B,2001,22(4):519-528. |
| |
| Authors: | HE Qun and SHEN Yibing |
| |
| Institution: | 1. Department of Applied Mathematics, Tongji University,
2. Department of Mathematics, West-Brook, Zhejiang University, |
| |
| Abstract: | By means of the theory of harmonic maps into the unitary group U(N), the authors study harmonic maps into the symplectic group Sp(N). The symplectic uniton and symplectic ex--tended uniton are introduced. The method of the symplectic Backlund transformation and the Darboux transformation is used to construct new symplectic unitons from a known one. |
| |
| Keywords: | Harmonic map Symplectic group Symplectic uniton Darboux transformation |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《数学年刊B辑(英文版)》浏览原始摘要信息 |
| 点击此处可从《数学年刊B辑(英文版)》下载免费的PDF全文 |
