Contact cylindrical surfaces and a projection of a surface around a parabolic point
Differential Geometry
2023-02-01 v2
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 -singularity of the orthogonal projection of a surface from the asymptotic direction.
Keywords
Cite
@article{arxiv.2206.07263,
title = {Contact cylindrical surfaces and a projection of a surface around a parabolic point},
author = {Masaru Hasegawa and Yutaro Kabata and Kentaro Saji},
journal= {arXiv preprint arXiv:2206.07263},
year = {2023}
}
Comments
18 pages; The title and introduction have been revised to be more appropriate