Singularities for One-Parameter Null Hypersurfaces of Anti-de Sitter Spacelike Curves in Semi-Euclidean Space. (19th July 2016)

• Record Type: Journal Article
• Authors: Wang, Yongqiao; Pei, Donghe; Gao, Ruimei
• Other Names: Fošner Ajda Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2016(2016)
• Publication Date: 2016-07-19
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2016/2319741
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : 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.