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
收藏
页码：3455 / 3468
页数：14
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