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Normal form of the swallowtail and its applications

Department of Mathematics, Kobe University, Rokko 1-1, Nada, Kobe 657-8501, Japan

https://doi.org/10.1142/S0129167X18500465Cited by:5 (Source: Crossref)

Abstract

We construct a form of the swallowtail singularity in $R^{3}$ which uses coordinate transformation on the source and isometry on the target. As an application, we classify configurations of asymptotic curves and characteristic curves near swallowtails.

Dedicated to Professor Go-o Ishikawa on the occasion of his sixtieth birthday. Partly supported by the JSPS KAKENHI 26400087.

Keywords:

AMSC: 53A05, 58K05, 57R45

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