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arXiv · 2009.05031

Minimal Surfaces from Rigid Motions

Jens Hoppe
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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.

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Jens Hoppe. 2020-09-10. Minimal Surfaces from Rigid Motions. https://arxiv.org/abs/2009.05031

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