Minimal Surfaces from Rigid Motions

Abstract

Equations are derived for the shape of a hypersurface in ${\mathbb{R}}^N$ for which a rigid motion yields a minimal surface in ${\mathbb{R}}^{N+1}$. Some elementary, but unconventional, aspects of the classical case $N=2$ (solved by H.F. Scherk in 1835) are discussed in some detail.

References in corpus (2)

• U(1) invariant Membranes and Singularities
• Lectures on Minimal Surfaces