Two-symmetric Lorentzian manifolds

被引：18

作者：

Alekseevsky, Dmitri V. ^{[2
]}

Galaev, Anton S. ^{[1
]}

机构：

[1] Masaryk Univ, Fac Sci, Dept Math & Stat, CS-61137 Brno, Czech Republic

[2] Univ Edinburgh, Sch Math, Edinburgh, Midlothian, Scotland

来源：

JOURNAL OF GEOMETRY AND PHYSICS | 2011年 / 61卷 / 12期

关键词：

Two-symmetric Lorentzian manifold; pp-wave; Holonomy algebra; Curvature tensor; Parallel Weyl conformal curvature tensor; CURVATURE TENSORS; HOLONOMY GROUPS; CLASSIFICATION; SPACES;

D O I：

10.1016/j.geomphys.2011.07.005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We classify two-symmetric Lorentzian manifolds using methods of the theory of holonomy groups. These manifolds are exhausted by a special type of pp-waves and, like the Symmetric Cahen-Wallach spaces, they have commutative holonomy. (C) 2011 Elsevier B.V. All rights reserved.

引用

页码：2331 / 2340

页数：10

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