Einstein-like Pseudo-Riemannian Homogeneous Manifolds of Dimension Four

被引：8

作者：

Zaeim, Amirhesam ^{[1
]}

Haji-Badali, Ali ^{[2
]}

机构：

[1] Payame Noor Univ, Dept Math, POB 19395-3697, Tehran, Iran

[2] Univ Bonab, Basic Sci Fac, Dept Math, Bonab 55517, Iran

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2016年 / 13卷 / 05期

关键词：

Non-trivial isotropy; invariant metrics; Einstein-like manifold; homogeneous space; Ricci tensor; LORENTZIAN MANIFOLDS;

D O I：

10.1007/s00009-016-0696-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A full classification of invariant Einstein-like metrics on four-dimensional pseudo-Riemannian homogeneous spaces with non-trivial isotropy is given. Specially, proper examples of Codazzi manifolds which are not conformally flat have been presented.

引用

页码：3455 / 3468

页数：14

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