Surfaces in ${\mathbb{S}}^4$ with normal harmonic Gauss maps

Eduardo Hulett

We consider conformal immersions of Riemann surfaces in $\bb{S}^4$ and study their Gauss maps with values in the Grassmann bundle $\mathcal{F}=S{O}_5/T^2\to {\mathbb{S}}^4$. The ene…