论文标题
关于高斯的曲率和奇异性,尖端边缘
On Gaussian curvatures and singularities of Gauss maps of cuspidal edges
论文作者
论文摘要
我们通过高斯图的奇异性类型展示了尖端边缘高斯曲率的迹象与几何不变性之间的关系。此外,我们通过尖边的几何不变剂来定义和表征高斯图的尖端的阳性/负性,并显示了尖尖和高斯曲率的迹象之间的关系。
We show relation between sign of Gaussian curvature of cuspidal edge and geometric invariants through types of singularities of Gauss map. Moreover, we define and characterize positivity/negativity of cusps of Gauss maps by geometric invariants of cuspidal edges, and show relation between sign of cusps and of the Gaussian curvature.