On Konopelchenko's representation for surfaces in 4 dimensions

Details On Konopelchenko's representation for surfaces in 4 dimensions On Konopelchenko's representation for surfaces in 4 dimensions

2001-04-09

arxiv.org/abs/math/0104101v1

Mathematics

Differential Geometry

4 pages

Scientific paper

The purpose of this short note is to relate a representation formula due to
the Author and P. Romon for Lagrangian surfaces (see math.DG/0009202) to a more
general Weierstrass representation type formula found by Konopelchenko for
surfaces in 4-dimensional space (see math.DG/9807129). Simplifications are
pointed out.

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