Please
Join the Mathematics Department for a Colloquium
Created
at GANG by Nick Schmitt with CMCLab
© GANG 2002
“Symmetric
Surfaces of Constant Mean Curvature in the
Three-Sphere”
By
Dr. John McCuan
Thursday, April 3, 2:30 pm
Coffee and Cookies @ 2:00 pm
D235
Abstract
I will describe some notions of
symmetry for two-dimensional surfaces in the three-dimensional sphere which generalize
“rotational symmetry.” Then I will
outline a recent classification theorem for surfaces of constant mean curvature
which are symmetric and have various other properties (primarily complete and
compact surfaces). These results
parallel a corresponding result for rotationally symmetric surfaces in
Euclidean space (Delaunay surfaces) and I will also give a brief introduction
to those surfaces.
