A loop group method for affine harmonic maps into Lie groups

2014/05/02 by Dorfmeister, Josef F., Inoguchi, Jun-ichi, Kobayashi, Shimpei
#22E25 #53C43 #Differential Geometry (math.DG) #FOS: Mathematics #Primary: 58E20 #Secondary: 22E65

paper · doi:10.48550/arxiv.1405.0333

Abstract

We generalize the Uhlenbeck-Segal theory for harmonic maps into compact semi-simple Lie groups to general Lie groups equipped with torsion free bi-invariant connection.

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