Characterizing singularities of a surface in Lie sphere geometry

@article{Pember2017CharacterizingSO,
  title={Characterizing singularities of a surface in Lie sphere geometry},
  author={Mason Pember and Wayne Rossman and Kentaro Saji and Keisuke Teramoto},
  journal={Hokkaido Mathematical Journal},
  year={2017}
}
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. 

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