Singularities of null surfaces of null Cartan curves in three-dimensional anti-de Sitter space

被引：3

作者：

Wei, Sining ^{[1
]}

Huang, Jie ^{[1
]}

Chen, Liang ^{[1
]}

机构：

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

来源：

TOPOLOGY AND ITS APPLICATIONS | 2018年 / 234卷

关键词：

Anti-de Sitter space; Null surface; Null Cartan curve; Versal unfolding;

D O I：

10.1016/j.topol.2017.11.021

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate the geometric properties of a kind of null surfaces associated to null Cartan curves in three dimensional anti-de Sitter space from the singularity theory viewpoint. We define a map which is called the binormal height function and introduce two geometric invariants for null Cartan curves. Taking advantage of them, we study the singularities of the null surfaces as applications of singularity theory of functions. (C) 2017 Elsevier B.V. All rights reserved.

引用

页码：238 / 247

页数：10

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