"How to build minimal surfaces"
Junior Colloquium talk, 3:30 Tuesday, March 1, 2005
Robert Gulliver
Abstract:
A minimal surface in R3 is locally
(in sufficiently small regions) the
surface of minimum area among surfaces with the same boundary curve. I
will present a beautiful formula, the Weierstrass representation, which
represents any minimal surface in terms of two analytic functions of one
complex variable. We will consider pictures of several interesting
examples, and see how to construct minimal surfaces which include a line
or meet a plane orthogonally, especially some examples of periodic
minimal surfaces. Some useful web sites:
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