中性特征四维流形中同调向量场的零点

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-05-31 DOI:10.1016/j.geomphys.2024.105239

Graham Hall , Bahar Kırık Rácz

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引用次数: 0

摘要

本文探讨了在接纳中性度量的四维流形上的适当同调向量场 X 的零点情况。本文根据在所述零点处的里奇张量和韦尔张量的代数类型来描述这些零点的类型，并对这些零点的集合进行了几何描述。将这里出现的情况与正定符号和洛伦兹符号的情况进行了比较。并举例说明，从理论上推导出的这种零点的许多可能性实际上是存在的。

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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Zeros of homothetic vector fields in 4-dimensional manifolds of neutral signature

This paper explores the situation regarding the zeros of a proper homothetic vector field X on a 4-dimensional manifold admitting a metric of neutral signature. The types of such zeros are described in terms of the algebraic types of the Ricci tensor and Weyl tensor at the said zero together with a geometrical description of the set of such zeros. A comparison is made between the situation occurring here and that for positive definite and Lorentz signatures. Examples are given to show that many of the theoretical possibilities derived for such zeros actually exist.

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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.