LEFT INVARIANT LORENTZIAN METRICS AND CURVATURES ON NON-UNIMODULAR LIE GROUPS OF DIMENSION THREE

被引：0

作者：

Ha, Ku Yong ^{[1
]}

Lee, Jong Bum ^{[1
]}

机构：

[1] Sogang Univ, Dept Math, Seoul 04107, South Korea

来源：

JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY | 2023年 / 60卷 / 01期

基金：

新加坡国家研究基金会;

关键词：

Non-unimodular three dimensional Lie groups; left invariant Lorentzian metrics; Ricci operators;

D O I：

10.4134/JKMS.j220238

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For each connected and simply connected three-dimensional non-unimodular Lie group, we classify the left invariant Lorentzian met-rics up to automorphism, and study the extent to which curvature can be altered by a change of metric. Thereby we obtain the Ricci operator, the scalar curvature, and the sectional curvatures as functions of left invariant Lorentzian metrics on each of these groups.Our study is a continuation and extension of the previous studies done in [3] for Riemannian metrics and in [1] for Lorentzian metrics on unimodular Lie groups.

引用

页码：143 / 165

页数：23