Pseudo-Riemannian Weakly Symmetric Manifolds of Low Dimension

被引：0

作者：

Zhang, Bo ^{[1
,2
]}

Chen, Zhiqi ^{[1
,2
]}

Deng, Shaoqiang ^{[1
,2
]}

机构：

[1] Nankai Univ, Sch Math Sci, 94 Weijin Rd, Tianjin 300071, Peoples R China

[2] Nankai Univ, LPMC, 94 Weijin Rd, Tianjin 300071, Peoples R China

来源：

CZECHOSLOVAK MATHEMATICAL JOURNAL | 2019年 / 69卷 / 03期

关键词：

pseudo-Riemannian manifold; pseudo-Riemannian weakly symmetric manifold; pseudo-Riemannian weakly symmetric Lie algebra; Lorentzian weakly symmetric manifold;

D O I：

10.21136/CMJ.2019.0515-17

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a classification of pseudo-Riemannian weakly symmetric manifolds in dimensions 2 and 3, based on the algebraic approach of such spaces through the notion of a pseudo-Riemannian weakly symmetric Lie algebra. We also study the general symmetry of reductive 3-dimensional pseudo-Riemannian weakly symmetric spaces and particularly prove that a 3-dimensional reductive 2-fold symmetric pseudo-Riemannian manifold must be globally symmetric.

引用

页码：811 / 835

页数：25

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