The Weierstrass Representation always gives a minimal surface

2012/08/28 by Roshan Sharma, Sharma, Roshan
Computer Science · Engineering · Mathematics · #Advanced Numerical Analysis Techniques #Computational Geometry and Mesh Generation #Differential Geometry (math.DG) #FOS: Mathematics #Geometric and Algebraic Topology #math.DG

paper · pdf · doi:10.48550/arxiv.1208.5689

4 pages, 2 figures

arxiv created 2012/08/28 · openalex publication_date 2012/08/28 · arxiv updated 2015/03/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give a simple, direct proof of the easy fact about the Weierstrass Representation, namely, that it always gives a minimal surface. Most presentations include the much harder converse that every simply connected minimal surface is given by the Weierstrass Representation.

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