Integrable Systems and Harmonic Maps into Lie Groups

2005/06/09 by Fergus O'Dea, O'Dea, Fergus
Mathematics · Physics and Astronomy · #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.AP #math.MP

paper · pdf · doi:10.48550/arxiv.math/0506164

arxiv created 2005/06/09 · arxiv updated 2009/12/01

Abstract

A study of harmonic maps into Lie groups as a generalisation of the study of other well-known integrable systems, particularly the Toda and self-dual Chern Simons theories.

Related

• Harmonic Maps and Integrable Systems
• Group Theory Structures Underlying Integrable Systems
• A loop group method for affine harmonic maps into Lie groups
• Geometric Dynamical Systems
• Reduction and Integrability