| 概要 | Surface theory is well-suited to mathematical visualization. Many surfaces have been beautifully constructed (and even discovered) in computer experiments with various kinds of software over the years. However, in some cases, it can be difficult to see "global aspects", either because of technical limitations or because of extreme sensitivity to initial data. Minimal surfaces are such a case. For example, nontrivial examples were constructed by Herman Karcher and Richard Palais using the software 3D-XplorMath, which will be described in the lecture by Takashi Sakai. We shall explain some of the difficulties which arise in constructing surfaces of constant mean curvature (CMC surfaces). |