The lightlike geometry of marginally trapped surfaces in Minkowski space-time

被引：6
|
作者：
Honda, Atsufumi [1 ]
Izumiya, Shyuichi [2 ]
机构：
[1] Natl Inst Technol, Miyakonojo Coll, Miyakonojo 8858567, Japan
[2] Hokkaido Univ, Dept Math, Sapporo, Hokkaido 0600810, Japan
来源：
JOURNAL OF GEOMETRY | 2015年 / 106卷 / 01期
关键词：
Lightlike geometry; Minkowski space-time; variational problems; marginally trapped surface;
D O I：
10.1007/s00022-015-0266-2
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The lightlike geometry of codimension two spacelike submanifolds in Lorentz-Minkowski space has been developed by Izumiya and Romero Fuster (Selecta Math (N.S.) 13:23-55, 2007) which is a natural Lorentzian analogue of the classical Euclidean differential geometry of hypersurfaces. In this paper we investigate a special class of surfaces (i.e., marginally trapped surfaces) in Minkowski space-time from the view point of the lightlike geometry.
引用
收藏
页码：185 / 210
页数：26
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