On Prescribed Values of the Operator of Sectional Curvature on Three-Dimensional Locally Homogeneous Lorentzian Manifolds

被引：0

作者：

Klepikova S.V. ^{[1
]}

Khromova O.P. ^{[1
]}

机构：

[1] Altai State University, Barnaul

来源：

Journal of Mathematical Sciences | 2023年 / 276卷 / 4期

关键词：

53B20; 53C30; 53C50; curvature operator; left-invariant Lorentzian metric; Lie algebra; Lie group; spectrum;

D O I：

10.1007/s10958-023-06771-w

中图分类号：

学科分类号：

摘要：

In this paper, the problem of prescribed values of the operator of sectional curvature on a three-dimensional locally homogeneous Lorentzian manifolds is solved. Necessary and sufficient conditions for the operator of sectional curvature of such manifolds are obtained. © 2023, Springer Nature Switzerland AG.

引用

页码：508 / 516

页数：8

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