Characterizing singularities of a surface in Lie sphere geometry
classification
🧮 math.DG
keywords
sphereconditionsgeometrysingularitiessurfacecharacterizingcontextcuspidal
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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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