Normal form of swallowtail and its applications
classification
🧮 math.GT
math.DG
keywords
swallowtailcurvesformapplicationapplicationsasymptoticcharacteristicclassify
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We construct a form of 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 swallowtail.
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