爱因斯坦谐波方程和恒定标量曲率凯勒度量

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-06-12 DOI:10.1016/j.geomphys.2024.105253

Hajime Ono

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引用次数: 0

摘要

让 (M,J) 是一个紧凑的复曲面。勒布伦在他的论文[9]中指出，爱因斯坦-麦克斯韦方程的 J 不变解对应于保角 Kähler 恒标量曲率流形，其 Ricci 张量是 J 不变的。在本文中，我们将证明偶复维度的凯勒恒定标量曲率流形给出了有物质场的爱因斯坦方程的解，我们称之为爱因斯坦-谐波方程。

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The Einstein-harmonic equations and constant scalar curvature Kähler metrics

Let $(M, J)$ be a compact complex surface. In his paper [9], LeBrun showed that J-invariant solutions of the Einstein-Maxwell equations correspond to conformally Kähler constant scalar curvature metrics whose Ricci tensors are J-invariant. In the present paper, we prove that constant scalar curvature Kähler manifolds of even complex dimension give solutions of Einstein equations with matter fields which we call the Einstein-harmonic equations.

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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.