Uniqueness of the Riemann minimal examples
Riemann classified all minimal surfaces in \(\mathbb{R}^3\) that are foliated by circles and straight lines in horizontal planes. The only such surfaces are the plane, the helicoid, and a one-parameter family of what are now called Riemann minimal examples. In the paper under review, the authors show that the only properly embedded periodic minimal surfaces in \(\mathbb{R}^3\) of genus zero with two limit ends are the Riemann minimal examples.
scientific article; zbMATH DE number 1186165