SOME REMARKS ON SINGULAR DARBOUX TRANSFORMATIONS FOR UNITONS  

作　　者：GUGHAOHAO HUHESHENG 

机构地区：[1]InstituteofMathematics,FudanUniversity.Shanghai200433,China. [2]ProjectsupportedbytheSpecialFundsforMajorStateBasicResearchProjectofChina（NonlinearScience）,theNationalNaturalScienceFoundationofChinaandtheFoundationoftheCommissionofScienceandTechnologyofShanghai.

出　　处：《Chinese Annals of Mathematics,Series B》2001年第3期263-266,共4页数学年刊（B辑英文版）

基　　金：he Special Funds for Major State Basic Ressarch Project of China (NonlinearScience), the National Natural Science Foundation o

摘　　要：Is the paper [2] the authors defined the singular Darboux transformations and established an explicit formula for constructing unitons from a simply connected Riemann surface. M to the group U(N). The formula is obtained as a limit of an infinite consequence of Darboux transformations through some renormalization procedure. In the present paper the authors give a complete proof of the fact that the formula gives a global solution of harmonic maps without singularity.

关 键 词：UNITON Singular Darboux transformation RENORMALIZATION 

分 类 号：O186.12[理学—数学]