On the dressing action of loop groups on constant mean curvature surfaces

DOI10.2748/tmj/1178225065zbMath0912.53010OpenAlexW2046782223MaRDI QIDQ1384467

Hongyou Wu

Publication date: 13 April 1998

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178225065

zbMATH Keywords

CMC surfacesloop groupsHopf differentialdressing transformationsdressing invariantsdressing orbits

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items (2)

Dressing preserving the fundamental group ⋮ A new characterization of normalized potentials in dimension two

Cites Work

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• Harmonic maps into Lie groups (classical solutions of the chiral model)
• Weierstrass type representation of harmonic maps into symmetric spaces
• A simple way for determining the normalized potentials for harmonic maps
• Group actions and deformations for harmonic maps
• Dressing orbits of harmonic maps
• Actions of Loop Groups on Harmonic Maps

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