The Weierstrass Representation always gives a minimal surface
Differential Geometry
2015-03-20 v1
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.
Cite
@article{arxiv.1208.5689,
title = {The Weierstrass Representation always gives a minimal surface},
author = {Roshan Sharma},
journal= {arXiv preprint arXiv:1208.5689},
year = {2015}
}
Comments
4 pages, 2 figures