Flat maximal immersions

被引：2
|
作者：
Larsen, JC
机构：
[1] Mathematical Institute, DTU Building 303
来源：
JOURNAL OF GEOMETRY AND PHYSICS | 1996年 / 18卷 / 02期
关键词：
maximal Lorentzian immersion; metric singularities;
D O I：
10.1016/0393-0440(95)00005-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper proves that a complete maximal Lorentzian surface in three-dimensional Minkowski space is flat iff it is the graph over a timelike plane of a function of one variable. Furthermore, we prove that maximal Lorentzian immersions are always unstable. Finally, we find the maximal Lorentzian surfaces of revolution.
引用
收藏
页码：118 / 130
页数：13
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