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arxiv: math/0104101 · v1 · submitted 2001-04-09 · 🧮 math.DG · math.AP

On Konopelchenko's representation for surfaces in 4 dimensions

classification 🧮 math.DG math.AP
keywords representationsurfacesformulakonopelchenkomathauthordimensionaldimensions
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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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