Finite type Lorentz harmonic maps and the method of Symes

DOI10.1016/S0926-2245(02)00091-8zbMath1027.58012WikidataQ115338179 ScholiaQ115338179MaRDI QIDQ1397834

Josef F. Dorfmeister, Ivan C. Sterling

Publication date: 6 August 2003

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

zbMATH Keywords

loop groupLorentz harmonic maps

Mathematics Subject Classification ID

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

Related Items (3)

Definite affine spheres and loop groups ⋮ Initial value problems of the sine-Gordon equation and geometric solutions ⋮ Solitonic metrics and harmonic maps

Cites Work

• The geometry of real sine-Gordon wavetrains
• Weierstrass type representation of harmonic maps into symmetric spaces
• Application of soliton theory to the construction of pseudospherical surfaces in \(\mathbb{R}^ 3\)
• On the classification of constant mean curvature tori
• Dressing orbits of harmonic maps
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