Characterizing singularities of a surface in Lie sphere geometry

Mason Pember; Wayne Rossman; Kentaro Saji; Keisuke Teramoto

doi:10.14492/hokmj/1562810509

Characterizing singularities of a surface in Lie sphere geometry

Mason Pember
, Wayne Rossman
, Kentaro Saji
, Keisuke Teramoto

Department of Mathematical Sciences

Forschungsgruppe Differentialgeometrie und Geometrische Strukturen
Technische Universität Wien
Kobe University
Kyushu University

Research output: Contribution to journal › Article › peer-review

1 Citation (SciVal)

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.

Original language	English
Pages (from-to)	281-308
Number of pages	28
Journal	Hokkaido Mathematical Journal
Volume	48
Issue number	2
DOIs	https://doi.org/10.14492/hokmj/1562810509
Publication status	Published - 30 Jun 2019

Bibliographical note

Publisher Copyright:
© 2013 Department of Mathematics, Hokkaido University.

Keywords

Lie sphere transformation
Singularities

ASJC Scopus subject areas

General Mathematics

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10.14492/hokmj/1562810509

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title = "Characterizing singularities of a surface in Lie sphere geometry",

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.",

keywords = "Lie sphere transformation, Singularities",

author = "Mason Pember and Wayne Rossman and Kentaro Saji and Keisuke Teramoto",

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year = "2019",

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doi = "10.14492/hokmj/1562810509",

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AU - Rossman, Wayne

AU - Saji, Kentaro

AU - Teramoto, Keisuke

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N2 - 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.

AB - 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.

KW - Lie sphere transformation

KW - Singularities

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DO - 10.14492/hokmj/1562810509

M3 - Article

AN - SCOPUS:85068977492

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JO - Hokkaido Mathematical Journal

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ER -

Characterizing singularities of a surface in Lie sphere geometry

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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