English

On Konopelchenko's representation for surfaces in 4 dimensions

Differential Geometry 2007-05-23 v1 Analysis of PDEs

Abstract

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.

Keywords

Cite

@article{arxiv.math/0104101,
  title  = {On Konopelchenko's representation for surfaces in 4 dimensions},
  author = {Frederic Helein},
  journal= {arXiv preprint arXiv:math/0104101},
  year   = {2007}
}

Comments

4 pages

R2 v1 2026-07-22T16:38:11.881Z