On Classification of Four-dimensional Locally Homogeneous Pseudo-Riemannian Manifolds with an Isotropic Weyl Tensor

被引：0

作者：

Klepikova, S. V. ^{[1
]}

机构：

[1] Altai State Univ, 61 Lenina Ave, Barnaul 656049, Russia

来源：

RUSSIAN MATHEMATICS | 2019年 / 63卷 / 07期

关键词：

locally homogeneous pseudo-Riemannian manifold; Lie algebra; isotropic Weyl tensor; 3-DIMENSIONAL LIE-GROUPS; METRICS;

D O I：

10.3103/S1066369X19070089

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate four-dimensional locally homogeneous pseudo-Riemannian manifolds with an isotropic Weyl tensor. An algorithm for obtaining a complete classification of such manifolds is described.

引用

页码：75 / 79

页数：5

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