Harmonic Maps, Loop Groups, And Integrable Systems

This study is an introduction to some of the fundamental connections between differential geometry, Lie groups, and integrable Hamiltonian systems. The specific... » 

This study is an introduction to some of the fundamental connections between differential geometry, Lie groups, and integrable Hamiltonian systems. The specific goal of the book is to show how the theory of loop groups can be used to study harmonic maps. «