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

被引:0
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作者
Klepikova S.V. [1 ]
Khromova O.P. [1 ]
机构
[1] Altai State University, Barnaul
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
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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.
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页码:508 / 516
页数:8
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