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

页码：185 / 210

页数：26

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