论文标题
接触圆柱体表面和抛物线点周围表面的投影
Contact cylindrical surfaces and a projection of a surface around a parabolic point
论文作者
论文摘要
我们研究了欧几里得三个空间中表面的抛物线点的差异几何特性。我们介绍了接触圆柱表面，该圆柱表面是一个圆柱体表面，在抛物线点与原始表面具有退化的接触类型。此外，我们表明，这种接触属性为$ \ Mathcal {a} $ - 表面从渐近方向的正交投影的奇异性提供了表征。
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.
