Discrete linear Weingarten surfaces
Differential Geometry
2018-11-30 v2
Abstract
Discrete linear Weingarten surfaces in space forms are characterized as special discrete -nets, a discrete analogue of Demoulin's -surfaces. It is shown that the Lie-geometric deformation of -nets descends to a Lawson transformation for discrete linear Weingarten surfaces, which coincides with the well-known Lawson correspondence in the constant mean curvature case.
Cite
@article{arxiv.1406.1293,
title = {Discrete linear Weingarten surfaces},
author = {F. Burstall and U. Hertrich-Jeromin and W. Rossman},
journal= {arXiv preprint arXiv:1406.1293},
year = {2018}
}
Comments
v2: 18 pages, improved exposition