Factorization and symplectic uniton numbers for harmonic maps into symplectic groups

DOI10.1007/BF02877010zbMath1017.53056MaRDI QIDQ1609587

Qun He, Yi-Bing Shen

Publication date: 15 August 2002

Published in: Science in China. Series A (Search for Journal in Brave)

zbMATH Keywords

symplectic groupharmonic mapfactorizationuniton number

Mathematics Subject Classification ID

Differential geometric aspects of harmonic maps (53C43) Lie groups (22E99)

Related Items

Filtrations, factorizations and explicit formulae for harmonic maps

Cites Work

• Harmonic maps into Lie groups (classical solutions of the chiral model)
• Construction of unitons via purely algebraic algorithm
• Harmonic two-spheres in compact symmetric spaces, revisited
• Constructive factorizations of unitons via singular Darboux transformations
• On the energy spectrum of harmonic 2-spheres in unitary groups
• Explicit construction of harmonic maps from \(R^ 2\) to \(U(N)\)
• Factorization and uniton numbers for harmonic maps into the unitary group \(U(N)\)
• Explicit Construction and Parametrization of Harmonic Two-Spheres in the Unitary Group
• On harmonic maps into symplectic groups \(S_p(N)\)