LIGHTLIKE DEVELOPABLES IN MINKOWSKI 3-SPACE

被引：0
|
作者：
Chino, Sachiko [1 ]
Izumiya, Shyuichi [1 ]
机构：
[1] Hokkaido Univ, Dept Math, Sapporo, Hokkaido 0600810, Japan
来源：
DEMONSTRATIO MATHEMATICA | 2010年 / 43卷 / 02期
关键词：
lightlike developables; Minkowski; 3-space; singularities;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We say that a surface in Minkowski 3-space is a lightlike developable if all pseudo-normal vectors of the regular part of the surface are lightlike. The tangent surface of a lightlike curve is one of the lightlike developables. We give a generic classification of such surfaces. The all arguments in this paper are elementary. However, we discovered the H3 type singularity appears in generic for such a class of surfaces. Since the H3 type singularity usually appears in non-generic situation, this is a quite interesting phenomenon.
引用
收藏
页码：387 / 399
页数：13
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