On pairs of geometric foliations on a cuspidal edge
classification
🧮 math.GT
keywords
surfaceconfigurationscuspidaledgeparametrizationasymptoticcharacteristiccurvature
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We study the topological configurations of the lines of principal curvature, the asymptotic and characteristic curves on a cuspidal edge, in the domain of a parametrization of this surface as well as on the surface itself. Such configurations are determined by the 3-jets of a parametrization of the surface.
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