论文标题
不变性的扩展性和界限在波前的奇点上
Extendibility and boundedness of invariants on singularities of wavefronts
论文作者
论文摘要
我们研究了高斯曲率，平均曲率和主要曲率的必要条件和足够的条件，附近的所有类型的奇点。我们还研究了这些几何不变的无限限制的收敛性，并展示了这与平行表面均匀近似前部均匀近似的特定特性密切相关。
We investigate necessary and sufficient conditions for the extendibility and boundedness of Gaussian curvature, Mean curvature and principal curvatures near all types of singularities on fronts. We also study the convergence to infinite limits of these geometrical invariants and show how this is tightly related to a particular property of uniform approximation of fronts by parallel surfaces.
