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

作　　者：吉春[1] 方明 何延治[2] JI Chun;FANG Ming;HE Yan-zhi(Educational Institute of Jilin Province,Changchun 130000,China;College of Science,Yanbian University,Yanji 133002,China)

机构地区：[1]吉林省教育学院基础教育处,吉林长春130000 [2]延边大学理学院,吉林延吉133002

出　　处：《数学的实践与认识》2020年第21期204-211,共8页Mathematics in Practice and Theory

摘　　要：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.

关 键 词：Anti de Sitter空间 伪类光曲线 类光超曲面 

分 类 号：O186[理学—数学]