## Willmore Surface Images

https://faculty.math.illinois.edu/~jms

jms@math.uiuc.edu

Back to my other Mathematical Images.

See also photographs
I took of Tom Willmore and other mathematicians standing
next to the Willmore/Boy's surface sculpture at Oberwolfach.

The Willmore bending energy of a surface is the integral (over that
surface) of squared mean curvature.
A Willmore surface is a minimum (or any critical
point) for this energy. One way to get a Willmore surface (in R^3)
is to stereographically project a minimal surface in S^3.
The two surfaces pictured here arise in this way
from a pair of conjugate minimal surfaces in S^3.