MARGINALLY TRAPPED MERIDIAN SURFACES OF PARABOLIC TYPE IN THE FOUR-DIMENSIONAL MINKOWSKI SPACE

被引：5

作者：

Ganchev, Georgi ^{[1
]}

Milousheva, Velichka ^{[1
,2
]}

机构：

[1] Bulgarian Acad Sci, Inst Math & Informat, BU-1113 Sofia, Bulgaria

[2] L Karavelov Civil Engn Higher Sch, Sofia 1373, Bulgaria

来源：

INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS | 2013年 / 10卷 / 10期

关键词：

Marginally trapped surfaces in the four-dimensional Minkowski space; lightlike mean curvature vector; meridian surfaces in Minkowski space; MEAN-CURVATURE; 4-SPACE; FORMS;

D O I：

10.1142/S0219887813500606

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A marginally trapped surface in the four-dimensional Minkowski space is a spacelike surface whose mean curvature vector is lightlike at each point. We introduce meridian surfaces of parabolic type as one-parameter systems of meridians of a rotational hypersurface with lightlike axis in Minkowski 4-space and find their basic invariants. We find all marginally trapped meridian surfaces of parabolic type and give a geometric construction of these surfaces.

引用

页数：17

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