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.
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.