Document Zbl 1482.57034

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Characterizing singularities of a surface in Lie sphere geometry. (English) Zbl 1482.57034

Hokkaido Math. J. 48, No. 2, 281-308 (2019).

Summary: 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.

MSC:

57R45	Singularities of differentiable mappings in differential topology
53A05	Surfaces in Euclidean and related spaces
53A35	Non-Euclidean differential geometry

Keywords:

singularities; Lie sphere transformation

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