Normal form of swallowtail and its applications

2017/03/27 by Kentaro Saji, Saji, Kentaro
Mathematics · #57R45 #Algebraic and Geometric Analysis #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric Topology (math.GT) #Mathematics and Applications #Primary 53A05 #Secondary 58K05

paper · pdf · doi:10.48550/arxiv.1703.08904

openalex publication_date 2017/03/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We construct a form of swallowtail singularity in R³ 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 swallowtail.

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