Anti de Sitter空间上伪类光曲线的类光超曲面

Lightlike Hypersurfaces of Pseudo-lightlike Curves in Anti de Sitter Space

主要研究了三维AntideSitter空间上伪类光曲线生成的类光超曲面.利用奇点理论对类光超曲面的奇点进行了分类,最后验证了该分类的通有性.

In this paper,we consider pseudo-lightlike curves in Anti de Sitter space.We define the lightlike hypersurfaces which are associated with pseudo-lightlike curves.By using singularity theory,we give the classification of the singularities of lightlike hypersurfaces.Moreover,the generic properties of the classification is proved.