The Weierstrass representation always gives a minimal surface

Authors

Roshan Sharma, Williams CollegeFollow

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.

Author Bio

Roshan Sharma, a citizen of Nepal, is currently a senior at Williams College, Massachusetts. He is majoring in Physics and Mathematics. He has worked closely with faculty members at Williams to do research in Quantum Information Theory (Summer 2011) and Controlling Quantum States (Summer 2012). This paper is a write-up of his senior Math colloquium, advised by Prof. Frank Morgan.

Faculty Sponsor

Frank Morgan

Recommended Citation

Sharma, Roshan (2013) "The Weierstrass representation always gives a minimal surface," Rose-Hulman Undergraduate Mathematics Journal: Vol. 14: Iss. 1, Article 4.
Available at: https://scholar.rose-hulman.edu/rhumj/vol14/iss1/4