A loop group method for affine harmonic maps into Lie groups

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.

37 pages

References in corpus (2)

• Willmore surfaces in spheres via loop groups $I$: generic cases and some examples
• A loop group method for minimal surfaces in the three-dimensional Heisenberg group

Cited by in corpus (2)

• Biharmonic homomorphisms between Riemannian Lie groups
• Harmonic Maps into Homogeneous Spaces According to a Darboux Homogeneous Derivative