Characterizing singularities of a surface in Lie sphere geometry
Differential Geometry
2017-03-14 v1
Abstract
The conditions for a cuspidal edge, swallowtail and other fundamental singularities are given in the context of Lie sphere geometry. We then use these conditions to study the Lie sphere transformations of a surface.
Cite
@article{arxiv.1703.04257,
title = {Characterizing singularities of a surface in Lie sphere geometry},
author = {Mason Pember and Wayne Rossman and Kentaro Saji and Keisuke Teramoto},
journal= {arXiv preprint arXiv:1703.04257},
year = {2017}
}
Comments
18 pages, 3 figures