A new characterization of normalized potentials in dimension two

DOI10.1007/BF03322110zbMath0946.58017OpenAlexW2004804868MaRDI QIDQ1306287

Hongyou Wu

Publication date: 26 October 2000

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03322110

zbMATH Keywords

harmonic mapsdressing transformationsnormalized potentials

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Loop groups and related constructions, group-theoretic treatment (22E67) Differential geometric aspects of harmonic maps (53C43) Harmonic maps, etc. (58E20)

Cites Work

• Weierstrass type representation of harmonic maps into symmetric spaces
• A simple way for determining the normalized potentials for harmonic maps
• Meromorphic potentials and smooth surfaces of constant mean curvature
• On the dressing action of loop groups on constant mean curvature surfaces

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