论文标题
与无界主曲线相关的前沿的焦点表面
Focal surfaces of fronts associated to unbounded principal curvatures
论文作者
论文摘要
我们研究了（波）前部的焦点表面，该焦点是与初始前部非脱位奇异点附近无界主曲线相关的。我们以奇异性的类型和初始前沿的几何特性来表征这些焦点表面的奇异性。此外，我们研究了焦点表面高斯曲率的行为。
We study focal surfaces of (wave) fronts associated to unbounded principal curvatures near non-degenerate singular points of initial fronts. We give characterizations of singularities of those focal surfaces in terms of types of singularities and geometrical properties of initial fronts. Moreover, we investigate behavior of the Gaussian curvature of the focal surface.
