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arXiv · 2206.07263

Contact cylindrical surfaces and a projection of a surface around a parabolic point

Masaru Hasegawa·Yutaro Kabata·Kentaro Saji
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Abstract

We investigate differential geometric properties of a parabolic point of a surface in the Euclidean three space. We introduce the contact cylindrical surface which is a cylindrical surface having a degenerate contact type with the original surface at a parabolic point. Furthermore, we show that such a contact property gives a characterization to the $\mathcal{A}$-singularity of the orthogonal projection of a surface from the asymptotic direction.

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Masaru Hasegawa, Yutaro Kabata, Kentaro Saji. 2022-06-15. Contact cylindrical surfaces and a projection of a surface around a parabolic point. https://arxiv.org/abs/2206.07263

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