The Initial Value Problem for Harmonic maps of Cohomogeneity One manifolds

Abstract

We set up and solve the initial value problem for equivariant harmonic maps of cohomogeneity one manifolds, i.e. we show the local existence of a harmonic map in the neighborhood of a singular orbit. Furthermore, we present some theory of regular-singular systems of first order.

I removed the previous Chapter 5 from the project to add it to another project; improved the presentation and made corrections