Singularities for One-Parameter Null Hypersurfaces of Anti-de Sitter Spacelike Curves in Semi-Euclidean Space
Singularities for One-Parameter Null Hypersurfaces of Anti-de Sitter Spacelike Curves in Semi-Euclidean Space
复制标题
半欧几里得空间中反德西空间类曲线的一参数零超曲面的奇异性
DOI：
10.1155/2016/2319741
复制
发表时间：
2016
影响因子：
1.9
通讯作者：
Gao Ruimei
中科院分区：
文献类型：
--
作者：
Wang Yongqiao;Pei Donghe;Gao Ruimei
We consider one-parameter null hypersurfaces associated with spacelike curves. The spacelike curves are in anti-de Sitter 3-space while one-parameter null hypersurfaces lie in 4-dimensional semi-Euclidean space with index 2. We classify the generic singularities of the hypersurfaces, which are cuspidal edges and swallowtails. And we reveal the geometric meanings of the singularities of such hypersurfaces by the singularity theory.
