2001•Acta Scientiarum Naturalium Universitatis SunyatseniRequires access

ON HARMONIC MAPS INTO SYMPLECTIC GROUPS Sp（N）

Hequn, Shenyibing

Abstract

By means of the theory of harmonic maps into the unitary group U(N), the authors study harmonic maps into the symplectic group Sp(N). The symplectic uniton and symplectic ex- tended uniton are introduced. The method of the symplectic Backlund transformation and the Darboux transformation is used to construct new symplectic unitons from a known one.

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Available abstract

Key concepts: Symplectic geometry, Symplectic representation, Symplectic group, Moment map, Symplectomorphism, Mathematics, Symplectic matrix, Pure mathematics