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arXiv · 1508.00753

A representation for pseudoholomorphic surfaces in spheres

M. Dajczer·Th. Vlachos
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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 $n$ holomorphic functions defined on a simply-connected domain in $\C$.

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M. Dajczer, Th. Vlachos. 2015-08-04. A representation for pseudoholomorphic surfaces in spheres. https://arxiv.org/abs/1508.00753

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