到辛群的多重调和映射及其分解定理  

On Pluriharmonic Maps into Symplectic Groups and Factorization Theorems

作　　者：贺群[1] 程成[1] 

机构地区：[1]同济大学数学系,上海200092

出　　处：《同济大学学报（自然科学版）》2006年第10期1408-1410,1413,共4页Journal of Tongji University:Natural Science

基　　金：国家自然科学基金资助项目(10471105)

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0-uniton通过纯代数的方法显式构造.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 O-uniton by purely algebraic operations.

关 键 词：多重调和映射 辛-实性条件 辛-n-uniton 辛-扩张n-uniton 

分 类 号：O186.16[理学—数学] O19[理学—基础数学]