The Ribaucour families of discrete R-congruences
Differential Geometry
2020-04-10 v1
Abstract
While a generic smooth Ribaucour sphere congruence admits exactly two envelopes, a discrete R-congruence gives rise to a 2-parameter family of discrete enveloping surfaces. The main purpose of this paper is to gain geometric insights into this ambiguity. In particular, discrete R-congruences that are enveloped by discrete channel surfaces and discrete Legendre maps with one family of spherical curvature lines are discussed.
Keywords
Cite
@article{arxiv.2004.04447,
title = {The Ribaucour families of discrete R-congruences},
author = {Thilo Rörig and Gudrun Szewieczek},
journal= {arXiv preprint arXiv:2004.04447},
year = {2020}
}