A representation for pseudoholomorphic surfaces in spheres

preprint2015arXivOpen access

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 nn holomorphic functions defined on a simply-connected domain in $\C$.

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