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

页码：455 / 473

页数：19

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