Discrete surfaces of constant mean curvature
Differential Geometry
2014-07-24 v1
Abstract
We propose a unified definition for discrete analogues of constant mean curvature surfaces in spaces of constant curvature as a special case of discrete special isothermic nets. B\"acklund transformations and Lawson's correspondence are discussed. It is shown that the definition generalizes previous definitions and a construction for discrete cmc surfaces of revolution in space forms is provided.
Keywords
Cite
@article{arxiv.0804.2707,
title = {Discrete surfaces of constant mean curvature},
author = {F Burstall and U Hertrich-Jeromin and W Rossman and S Santos},
journal= {arXiv preprint arXiv:0804.2707},
year = {2014}
}