A representation for pseudoholomorphic surfaces in spheres
arXiv:1508.00753
Abstract
We give a local representation for the pseudoholomorphic surfaces in Euclidean spheres in terms of holomorphic data. Similar to the case of the generalized Weierstrass representation of Hoffman and Osserman, we assign such a surface in $\Sf^{2n}$ to a given set of holomorphic functions defined on a simply-connected domain in $\C$.