A note on closed quasi-Einstein manifolds

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-09-17 DOI:10.1007/s13324-024-00967-2

Wagner Oliveira Costa-Filho

引用次数: 0

Abstract

The notion of m-quasi-Einstein manifolds originates from the study of Einstein warped product metrics and they are influential in constructing for many physical models. For example, these manifolds arises for extremal isolated horizons in the theory of black holes. In a recent work by Cochran (arXiv:2404.17090v1, 2024), the author studied Killing vector fields on closed m-quasi-Einstein manifolds. In this short paper, we will give another proof of his main result involving the scalar curvature, which holds for all values of m and is based on the use of known formulae related to quasi-Einstein metrics.

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关于封闭的准爱因斯坦流形的说明

m-quasi-Einstein 流形的概念源于对爱因斯坦扭曲积度量的研究，它们对构建许多物理模型都有影响。例如，在黑洞理论中，这些流形用于极端孤立地平线。在科克兰的最新著作（arXiv:2404.17090v1, 2024）中，作者研究了封闭米准爱因斯坦流形上的基林向量场。在这篇短文中，我们将对他涉及标量曲率的主要结果给出另一个证明，该结果对所有 m 值都成立，并且是基于使用与准爱因斯坦流形有关的已知公式。

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

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.