In my talk I explain how to construct new equivariant harmonic self-maps of cohomogeneity one manifolds. The problem of constructing such
harmonic self-maps is reduced to solving non-standard singular boundary value problems for non-linear ordinary diâµerential equations. I present new
techniques to find solutions of these boundary value problems and discuss a few interesting examples.
Links:
[1] http://www.mpim-bonn.mpg.de/taxonomy/term/39
[2] http://www.mpim-bonn.mpg.de/node/3444
[3] http://www.mpim-bonn.mpg.de/node/3050