On Lie Groups with Recurrent Curvature in Dimension Four

被引：0
作者：
Milad Bastami
Amirhesam Zaeim
Ali Haji-Badali
机构：
[1] University of Bonab,Department of Mathematics, Basic Sciences Faculty
[2] Payame Noor University,Department of Mathematics
来源：
Bulletin of the Iranian Mathematical Society | 2022年 / 48卷
关键词：
Curvature tensor; Lie group; Invariant metric; Recurrent curvature tensor; Ricci soliton; 53C50; 53C30; 53C25;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we give a full classification of pseudo-Riemannian Lie groups of dimension four with non-trivial recurrent curvature tensor (i.e., non-locally symmetric). Then we investigate Ricci solitons on recurrent curvature Lie groups. Locally conformally flat examples of our classification have also been presented.
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页码：1037 / 1049
页数：12
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