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Characterizing singularities of a surface in Lie sphere geometry

Authors :
Wayne Rossman
Kentaro Saji
Keisuke Teramoto
Mason Pember
Source :
Hokkaido Math. J. 48, no. 2 (2019), 281-308
Publication Year :
2019
Publisher :
Hokkaido University, Department of Mathematics, 2019.

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 conditions to study the Lie sphere transformations of a surface.<br />Comment: 18 pages, 3 figures

Subjects

Subjects :
Surface (mathematics)
Mathematics - Differential Geometry
General Mathematics
Lie sphere transformation
Geometry
Context (language use)
Edge (geometry)
53A35
53A05
Differential Geometry (math.DG)
Lie sphere geometry
FOS: Mathematics
Gravitational singularity
Mathematics::Differential Geometry
Singularities
57R45, 53A05
57R45
singularities
Mathematics

Details

Language :
English
Database :
OpenAIRE
Journal :
Hokkaido Math. J. 48, no. 2 (2019), 281-308
Accession number :
edsair.doi.dedup.....74f23ceaf55d50350bdaf657f26b6e8c

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Authors Abstract Subjects Details