A representation for pseudoholomorphic surfaces in spheres
Differential Geometry
2015-08-14 v2
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 to a given set of holomorphic functions defined on a simply-connected domain in .
Keywords
Cite
@article{arxiv.1508.00753,
title = {A representation for pseudoholomorphic surfaces in spheres},
author = {M. Dajczer and Th. Vlachos},
journal= {arXiv preprint arXiv:1508.00753},
year = {2015}
}