Transgressive Harmonic Maps and SU(1,1) Self-Duality Solutions

Sebastian Heller, Lothar Schiemanowski, Hartmut Weiss

We establish a duality between harmonic maps from Riemann surfaces to hyperbolic 3-space ${\mathbb{H}}^3$ and harmonic maps from Riemann surfaces to de Sitter three-space $\operatorn…