Three-dimensional Lorentz manifolds admitting a parallel null vector field

被引：57

作者：

Chaichi, M ^{[1
]}

García-Río, E

Vázquez-Abal, ME

机构：

[1] Univ Tabriz, Dept Math, Tabriz, Iran

[2] Univ Santiago de Compostela, Dept Geometry & Topol, Santiago De Compostela 15782, Spain

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2005年 / 38卷 / 04期

关键词：

D O I：

10.1088/0305-4470/38/4/005

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Curvature properties of three-dimensional Lorentz manifolds admitting a parallel degenerate line field are examined. A complete characterization of those manifolds being locally symmetric or locally conformally flat is obtained. The results of this study show nice families of examples of such properties within the Lorentzian setting.

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收藏

页码：841 / 850

页数：10

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