A classification of conformally flat generalized Ricci recurrent pseudo-Riemannian manifolds

被引：2

作者：

Loo, Tee-How ^{[1
]}

De, Avik ^{[2
]}

机构：

[1] Univ Malaya, Inst Math Sci, Kuala Lumpur 50603, Malaysia

[2] Univ Tunku Abdul Rahman, Dept Math & Actuarial Sci, Jalan Sungai Long, Cheras 43000, Kajang, Malaysia

来源：

INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS | 2022年 / 19卷 / 02期

关键词：

Generalized Ricci recurrent manifolds; conformally flat manifolds; de Sitter spacetimes; anti-de Sitter spacetimes;

D O I：

10.1142/S0219887822500232

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Conformally flat pseudo-Riemannian manifolds with generalized Ricci recurrent, (GR)(n) structure are completely classified in this short report. A conformally flat generalized Ricci recurrent pseudo-Riemannian manifold is shown to be an Einstein manifold. In particular, a conformally flat generalized Ricci recurrent spacetime must be either a de Sitter spacetime or an anti-de Sitter spacetime.

引用

页数：7

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