到辛群的多重调和映射的极小辛-uniton数

Minimal Symplectic Uniton Number for Pluriharmonic Maps into Symplectic Groups

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,证明了到辛群的多重调和映射的极小辛-uniton数不大于N,而极小uniton数不大于2N-1.

This paper studies the pluriharmonic maps from a connected complex manifold M into a symplectic group Sp（N）. Some results on harmonic maps are generalized to pluriharmonic maps. It is proved that the minimal symplectic uniton number of φ is not larger than N, and the minimal uniton number of φ is not larger than 2N - 1.