| 到辛群的多重调和映射及其分解定理 |
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| 引用本文： | 贺群,程成.到辛群的多重调和映射及其分解定理[J].同济大学学报(自然科学版),2006,34(10):1408-1410,1413. |
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| 作者姓名： | 贺群 程成 |
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| 作者单位： | 同济大学,数学系,上海,200092 |
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| 摘 要： | 研究从连通复流形M到辛群Sp（N）的多重调和映射，将调和映射的结论推广到多重调和映射上，给出了相应的dressing作用和Backlund变换，并证明了任何一个辛-n-uniton可由O-uniton通过纯代数的方法显式构造．
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| 关 键 词： | 多重调和映射 辛-实性条件 辛-n-uniton 辛-扩张n-uniton |
| 文章编号： | 0253-374X（2006）10-1408-03 |
| 收稿时间： | 2005-04-01 |
| 修稿时间： | 2005-04-01 |
On Pluriharmonic Maps into Symplectic Groups and Factorization Theorems |
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| HE Qun,CHENG Cheng.On Pluriharmonic Maps into Symplectic Groups and Factorization Theorems[J].Journal of Tongji University(Natural Science),2006,34(10):1408-1410,1413. |
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| Authors: | HE Qun CHENG Cheng |
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| Institution: | Department of Mathematics, Tongji University, Shanghai 200092, China |
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| Abstract: | The pluriharmonic maps from a connected complex manifold M into a symplectic group(Sp(N)) are studied.Some results on harmonic maps are generalized to pluriharmonic maps and dressing action and symplectic Backlund transformations are introduced.Finally,it proves that any(symplectic)-n-uniton can be obtained from a 0-uniton by purely algebraic operations. |
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| Keywords: | pluriharmonic map symplectic-reality condition symplectic- n-uniton symplectic extended- n-uniton |
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