SINGULARITIES FOR NORMAL HYPERSURFACES OF DE SITTER TIMELIKE CURVES IN MINKOWSKI 4-SPACE

被引：4

作者：

Wang, Yongqiao ^{[1
]}

Pei, Donghe ^{[1
]}

机构：

[1] Northeast Normal Univ, Sch Math & Stat, Changchun 130024, Jilin, Peoples R China

来源：

JOURNAL OF SINGULARITIES | 2015年 / 12卷

关键词：

timelike curves; de Sitter 3-space; normal hypersurfaces; Lorentzian invariants;

D O I：

10.5427/jsing.2015.12o

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we consider the normal hypersurfaces associated with timelike curves in Minkowski 4-space which are confined in de Sitter 3-space. We classify the generic singularities of the normal hypersurfaces, which are cuspidal edges, swallowtails and butter-files. And reveal the relationships between these singularities and the Lorentzian invariants of timelike curves by applying the singularity theory.

引用

页码：207 / 214

页数：8

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