On pairs of geometric foliations on a cuspidal edge

Kentaro Saji

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arXiv · 1703.08903

On pairs of geometric foliations on a cuspidal edge

Kentaro Saji

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Abstract

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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Kentaro Saji. 2017-03-27. On pairs of geometric foliations on a cuspidal edge. https://arxiv.org/abs/1703.08903

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