WEAKLY-EINSTEIN CONDITIONS OVER LOCALLY CONFORMALLY FLAT LORENTZIAN THREE-MANIFOLDS

IF 1 4区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Reports on Mathematical Physics Pub Date : 2023-04-01 DOI:10.1016/S0034-4877(23)00024-1

Parvane Atashpeykar, Amirhesam Zaeim , Ali Haji-Badali

引用次数: 0

Abstract

We classify the Lorentzian manifolds of dimension n ≥ 3 admitting some diagonalizable operators which satisfy the Codazzi equation. This classification is applied to characterize three-dimensional weakly-Einstein Lorentzian manifolds which fall in the conformal class of the flat metrics.

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局部共形平坦洛伦兹三流形上的弱爱因斯坦条件

我们对维数n≥3的洛伦兹流形进行了分类，引入了一些满足Codazzi方程的可对角化算子。该分类用于刻画属于平面度量共形类的三维弱爱因斯坦-洛伦兹流形。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Reports on Mathematical Physics 物理-物理：数学物理

CiteScore

1.80

自引率

0.00%

发文量

审稿时长

6 months

期刊介绍： Reports on Mathematical Physics publish papers in theoretical physics which present a rigorous mathematical approach to problems of quantum and classical mechanics and field theories, relativity and gravitation, statistical physics, thermodynamics, mathematical foundations of physical theories, etc. Preferred are papers using modern methods of functional analysis, probability theory, differential geometry, algebra and mathematical logic. Papers without direct connection with physics will not be accepted. Manuscripts should be concise, but possibly complete in presentation and discussion, to be comprehensible not only for mathematicians, but also for mathematically oriented theoretical physicists. All papers should describe original work and be written in English.