Hokkaido Mathematical Journal

Characterizing singularities of a surface in Lie sphere geometry

Mason PEMBER, Wayne ROSSMAN, Kentaro SAJI, and Keisuke TERAMOTO

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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.

Article information

Hokkaido Math. J., Volume 48, Number 2 (2019), 281-308.

First available in Project Euclid: 11 July 2019

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Digital Object Identifier

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 53A05: Surfaces in Euclidean space
Secondary: 53A35: Non-Euclidean differential geometry 57R45: Singularities of differentiable mappings

singularities Lie sphere transformation


PEMBER, Mason; ROSSMAN, Wayne; SAJI, Kentaro; TERAMOTO, Keisuke. Characterizing singularities of a surface in Lie sphere geometry. Hokkaido Math. J. 48 (2019), no. 2, 281--308. doi:10.14492/hokmj/1562810509. https://projecteuclid.org/euclid.hokmj/1562810509

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