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

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.