Singularities of Focal Surfaces of Null Cartan Curves in Minkowski 3-Space

被引：10
|
作者：
Wang, Zhigang [1 ,2 ]
Pei, Donghe [1 ]
Chen, Liang [1 ]
Kong, Lingling [1 ]
Han, Qixing [3 ]
机构：
[1] NE Normal Univ, Sch Math & Stat, Changchun 130024, Peoples R China
[2] Harbin Normal Univ, Sch Math Sci, Harbin 150500, Peoples R China
[3] Changchun Normal Univ, Sch Math, Changchun 130032, Peoples R China
来源：
ABSTRACT AND APPLIED ANALYSIS | 2012年
关键词：
LIGHT-LIKE GEOMETRY; SCALAR CURVATURE; SPACE-TIME; STRINGS;
D O I：
10.1155/2012/823809
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Singularities of the focal surfaces and the binormal indicatrix associated with a null Cartan curve will be investigated in Minkowski 3-space. The relationships will be revealed between singularities of the above two subjects and differential geometric invariants of null Cartan curves; these invariants are deeply related to the order of contact of null Cartan curves with tangential planar bundle of lightcone. Finally, we give an example to illustrate our findings.
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页数：20
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