General Rotational Surfaces in ${\mathbb{R}}^4$ with Meridians Lying in Two-Dimensional Planes

Abstract

We apply the invariant theory of surfaces in the four-dimensional Euclidean space to the class of general rotational surfaces with meridians lying in two-dimensional planes. We find all minimal super-conformal surfaces of this class.

7 pages

References in corpus (2)

• Invariants and bonnet-type theorem for surfaces in $\r^4$
• Minimal Surfaces in the Four-Dimensional Euclidean Space