Characterizing singularities of a surface in Lie sphere geometry

M Pember, W Rossman, S Kentaro…�- Hokkaido Mathematical�…, 2019 - projecteuclid.org
M Pember, W Rossman, S Kentaro, K Teramoto
Hokkaido Mathematical Journal, 2019projecteuclid.org
Characterizing singularities of a surface in Lie sphere geometry Mason Pember, Wayne
Rossman, Kentaro Saji and Keisuke Teramoto Page 1 Hokkaido Mathematical Journal Vol. 48
(2019) p.281–308 Characterizing singularities of a surface in Lie sphere geometry Mason
Pember, Wayne Rossman, Kentaro Saji and Keisuke Teramoto (Received March 2, 2017;
Revised September 7, 2017) 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�…
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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