Weakly-Einstein three-dimensional Lorentzian manifolds

被引：0

作者：

Haji-Badali, Ali ^{[1
]}

Atashpeykar, Parvane ^{[1
]}

机构：

[1] Univ Bonab, Dept Math, Basic Sci Fac, Bonab, Iran

来源：

PUBLICATIONES MATHEMATICAE DEBRECEN | 2024年 / 105卷 / 3-4期

关键词：

algebraic models; curvature identity; Lorentzian; 3-metric; weakly-Einstein conditions; 1-curvature homogeneous; HOMOGENEITY; METRICS;

D O I：

10.5486/PMD.2024.9513

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Berger's curvature identity is studied on Lorentzian algebraic curvature models of dimension three, and homogeneous weakly-Einstein spaces are classified. We show that spaces with two-step nilpotent Ricci operators are the only non-Einstein spaces which satisfy all weakly-Einstein conditions simultaneously. Non-homogeneous examples are constructed using Walker structures.

引用

页码：259 / 279

页数：21

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