Channel surfaces in Lie sphere geometry
Differential Geometry
2018-04-25 v1
Abstract
We discuss channel surfaces in the context of Lie sphere geometry and characterise them as certain -surfaces. Since -surfaces possess a rich transformation theory, we study the behaviour of channel surfaces under these transformations. Furthermore, by using certain Dupin cyclide congruences, we characterise Ribaucour pairs of channel surfaces.
Keywords
Cite
@article{arxiv.1709.02224,
title = {Channel surfaces in Lie sphere geometry},
author = {Mason Pember and Gudrun Szewieczek},
journal= {arXiv preprint arXiv:1709.02224},
year = {2018}
}
Comments
14 pages, 2 figures