Surfaces of finite type with constant mean curvature
The authors prove the following results for finite type surfaces in the Euclidean 3-space \(E^3\). Theorem 1: A 3-type surface in \(E^3\) has nonconstant mean curvature. Theorem 2: Ordinary spheres, planes, catenoids and circular cylinders are the only surfaces of revolution with constant mean curvature in \(E^3\) which are of finite type.
scientific article; zbMATH DE number 515596
scientific article