On Konopelchenko's representation for surfaces in 4 dimensions

2001/04/09 by Frédéric Hélein, Frederic Helein, Helein, Frederic
Engineering · Mathematics · #49Q10 #53A04 #53C42 #53D12 #Advanced Numerical Analysis Techniques #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #advanced mathematical theories #math.AP #math.DG #msc:49Q10 #msc:53A04 #msc:53C42 #msc:53D12

paper · pdf · doi:10.48550/arxiv.math/0104101

4 pages

arxiv created 2001/04/09 · openalex publication_date 2001/04/09 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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