A note on the spectral deformation of harmonic maps from \({S}^{2}\) into the unitary group

DOI10.1007/S00022-018-0406-6zbMath1433.58016arXiv1502.02907OpenAlexW2791354298MaRDI QIDQ1754396

Maria João Ferreira, Bruno Ascenso Simões

Publication date: 30 May 2018

Published in: Journal of Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.02907

zbMATH Keywords

harmonic maploop groupuniton

Mathematics Subject Classification ID

Differential geometric aspects of harmonic maps (53C43) Harmonic maps, etc. (58E20)

Cites Work

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• New constructions of twistor lifts for harmonic maps
• Explicit construction of harmonic two-spheres into the complex Grassmannian
• Harmonic spheres in outer symmetric spaces, their canonical elements and Weierstrass-type representations
• All harmonic 2-spheres in the unitary group, completely explicitly
• Filtrations, factorizations and explicit formulae for harmonic maps
• Harmonic maps into Lie groups (classical solutions of the chiral model)
• Weierstrass type representation of harmonic maps into symmetric spaces
• Harmonic two-spheres in compact symmetric spaces, revisited
• Associated families of the pluriharmonic maps and isotropy
• The spectral parameter of pluriharmonic maps

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