SINGULARITIES OF TANGENT LIGHTCONE MAP OF A TIMELIKE SURFACE IN MINKOWSKI 4-SPACE

被引：1
|
作者：
Kong, Lingling [1 ]
Pei, Donghe [1 ]
机构：
[1] NE Normal Univ, Sch Math & Stat, Changchun 130024, Peoples R China
来源：
TOHOKU MATHEMATICAL JOURNAL | 2009年 / 61卷 / 04期
关键词：
Timelike surface; tangent lightcone map; tangent lightcone height function;
D O I：
10.2748/tmj/1264084494
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In the paper, we will define tangent lightcone map, tangent lightcone curvature and tangent lightcone height function. Then we study the geometry of the timelike surfaces in Minkowski 4-space through their contact with spacelike hyperplane and give the classification of singularities of tangent lightcone map based on the Legendrian singularity theory of Amol'd.
引用
收藏
页码：455 / 473
页数：19
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