The Weierstrass Representation always gives a minimal surface

zbMATH Open1398.53017arXiv1208.5689MaRDI QIDQ4691486

Roshan Sharma

Publication date: 24 October 2018

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.

Full work available at URL: https://arxiv.org/abs/1208.5689

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10)

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