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EXPLICIT CONSTRUCTION OFHARMONIC MAPS FROM R^2 TO U(N) 被引量:2

EXPLICIT CONSTRUCTION OFHARMONIC MAPS FROM R ̄2 TO U(N)
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摘要 Darboux transformation method is used for constructing harmonic maps from R2 to U(N).The explicit expressions for Darboux matrices are used to obtain new harmonic maps from aknown one.The algorithm is purely algebraic and can be repeated successively to obtain aninfinite sequence of harmonic maps. Single and multiple solitons are obtained with geometriccharacterizations and it is proved that the interaction between solitons is elastic. By introducingthe singlllar Darboux transformations, an explicit method to construct new unitons is presented.
出处 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 1995年第2期139-152,共14页 数学年刊(B辑英文版)
关键词 Harmonic map Explicit constrtruction Darboux transformation method.1991 MR Subject Classification 58E20. 谐映射 显式结构 达鲍克斯变换法 微分几何
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  • 1GU CHAOHAO(C.H.GU),HU HESHENG(H.S.HU)(Institute of Mathematics,Fudan University,Shanghai 200433,China).CONSTRUCTION OF UNITONS VIA PURELY ALGEBRAIC ALGORITHM[J].Chinese Annals of Mathematics,Series B,1999,20(1):1-6. 被引量:8
  • 2YuXin Dong.On energy gap of unitons[J].Mathematische Zeitschrift.2002(4)
  • 3Chaohao Gu,Yuxin Dong,Yibing Shen.Constructive factorizations of imitons via singular Darboux transformations[J].Science in China Series A: Mathematics.2000(2)
  • 4Gu Chaohaon.Unitons of Harmonic Maps from R2 to U(p,q)[J].Letters in Mathematical Physics.1998(4)
  • 5F.E. Burstall,M.A. Guest.Harmonic two-spheres in compact symmetric spaces, revisited[J].Mathematische Annalen.1997(4)
  • 6J. -L. Koszul,B. Malgrange.Sur certaines structures fibrées complexes[J].Archiv der Mathematik (-).1958(1-2)
  • 7Uhlenbeck K.Harmonic maps into Lie groups(classical solutions of the chiral model)[].Journal of Differential Geometry.1989
  • 8Wood J C.Explicit construction and parametrization of harmonic two-spheres in the unitary group[].Proceedings of the London Mathematical Society.1989
  • 9Guest,M.A.,Ohnita,Y.Group actions and deformations for harmonic maps[].Journal of the Mathematical Society of Japan.1993
  • 10Anand,C. K.A closed form for Unitons, J.Math[].Social Science Japan Journal.1998

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