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›› 2000, Vol. 17 ›› Issue (1): 8-13.

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Dressing Action on Space of Harmonic Maps

Peng Jia-gui1, Jiao Xiao-xiang2   

  1. Department of Mathematics, Graduate School, University of Science and Technology of China, Beijing 100039;
    2. Institute of Mathematics, Academy of Mathematics and Systems Sciences, Academia Sinica, Beijing 100080
  • Received:2000-10-25 Online:2000-01-15

Abstract:

It is proved that standard extended solution with n-uniton will be transformed into standard extended solution with nuniton under dressing action.It follows that dressing action preserves minimal uniton number. It is also proved that loop group action on holomorphic maps is equivalent to complex linear group action on Grassmannians.

Key words: harmonic maps, extended solution, dressing action,canonical action