Weierstrass-type representation for harmonic maps into general symmetric spaces via loop groups

DOI10.2969/jmsj/1160745814zbMath1110.53051OpenAlexW1986286389MaRDI QIDQ1775412

Vladimir Balan, Josef F. Dorfmeister

Publication date: 3 May 2005

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2969/jmsj/1160745814

zbMATH Keywords

potentialloop groupaffine connectionMaurer-Cartan formsymmetry spacetangent groupBirkhoff splittingfinite type harmonic mapIwasawa splitting

Mathematics Subject Classification ID

Loop groups and related constructions, group-theoretic treatment (22E67) Differential geometric aspects of harmonic maps (53C43) Harmonic maps, etc. (58E20) Harmonic functions on Riemann surfaces (30F15)

Related Items (4)

On a relation between potentials for pluriharmonic maps and para-pluriharmonic maps ⋮ Timelike minimal surfaces via loop groups ⋮ Integrability of generalized pluriharmonic maps ⋮ Birkhoff decompositions and Iwasawa decompositions for loop groups

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