Discrete constant mean curvature nets in space forms: Steiner's formula and Christoffel duality
Differential Geometry
2017-08-25 v1
Abstract
We show that the discrete principal nets in quadrics of constant curvature that have constant mixed area mean curvature can be characterized by the existence of a K\"onigs dual in a concentric quadric.
Keywords
Cite
@article{arxiv.1409.2001,
title = {Discrete constant mean curvature nets in space forms: Steiner's formula and Christoffel duality},
author = {A. Bobenko and U. Hertrich-Jeromin and I. Lukyanenko},
journal= {arXiv preprint arXiv:1409.2001},
year = {2017}
}
Comments
12 pages, 10 figures, pdfLaTeX (plain pdfTeX source included as bak file)