超曲面奇点的一些度量性质

Some Metric Properties of Hypersurface Singularites

文章研究在诱导度量的超曲面的孤立奇点(x,o)的局部度量性质.证明超曲面奇点的链环与亚历山大洛夫空间的奇点的方向空间有一些相似之处.

This article investigates the local metric properties of an isolated hypersurface singularity (X,o) with the induced metric.It shows that there are similarities between the role of the link of a hypersurface singularity and the space of directions of a singularity in an Alexandrov space.