Homogeneous structures on three-dimensional Lorentzian manifolds

被引：88

作者：

Calvaruso, Giovanni ^{[1
]}

机构：

[1] Univ Lecce, Dipartimento Matemat E De Giorgi, I-73100 Lecce, Italy

来源：

JOURNAL OF GEOMETRY AND PHYSICS | 2007年 / 57卷 / 04期

关键词：

Lorentzian manifolds; homogeneous pseudo-Riemannian structures; symmetric spaces;

D O I：

10.1016/j.geomphys.2006.10.005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that any non-symmetric three-dimensional homogeneous Lorentzian manifold is isometric to a Lie group equipped with a left-invariant Lorentzian metric. We then classify all three-dimensional homogeneous Lorentzian manifolds. (c) 2006 Elsevier B.V. All rights reserved.

引用

页码：1279 / 1291

页数：13

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