Discrete surfaces of constant mean curvature via dressing

Abstract

We start in Section 2 with the definition of the discrete (standard) cylinder as an example of a discrete CMC-surface in the sense of Bobenko and Pinkall [3, 4] (Definition 2.4). This will also lead to the introduction of so called extended frames for discrete CMC-surfaces. These definitions will describe the discrete analogues of CMC-surfaces without umbilics in an isothermic parametrization. Then we introduce the dressing action on the cylinder to generate a large class of such discrete CMC-surfaces along the lines of [17].

Cite this paper

@inproceedings{Haak1997DiscreteSO, title={Discrete surfaces of constant mean curvature via dressing}, author={Guido Haak}, year={1997} }