English

A loop group method for affine harmonic maps into Lie groups

Differential Geometry 2014-05-05 v1

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.

Keywords

Cite

@article{arxiv.1405.0333,
  title  = {A loop group method for affine harmonic maps into Lie groups},
  author = {Josef F. Dorfmeister and Jun-ichi Inoguchi and Shimpei Kobayashi},
  journal= {arXiv preprint arXiv:1405.0333},
  year   = {2014}
}

Comments

37 pages

R2 v1 2026-06-22T04:04:30.614Z