A representation for pseudoholomorphic surfaces in spheres
classification
🧮 math.DG
keywords
representationholomorphicpseudoholomorphicspheressurfacesassigncasedata
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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 $n$ holomorphic functions defined on a simply-connected domain in $\C$.
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