English

Minimal Surfaces from Rigid Motions

Differential Geometry 2020-09-11 v1

Abstract

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

Keywords

Cite

@article{arxiv.2009.05031,
  title  = {Minimal Surfaces from Rigid Motions},
  author = {Jens Hoppe},
  journal= {arXiv preprint arXiv:2009.05031},
  year   = {2020}
}
R2 v1 2026-06-23T18:27:17.690Z