Uniqueness of Conformal Metrics with Constant Q-Curvature on Closed Einstein Manifolds

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-12-18 DOI:10.1007/s11118-023-10117-1

Jérôme Vétois

引用次数: 0

Abstract

On a smooth, closed Einstein manifold (M, g) of dimension \(n \ge 3\) with positive scalar curvature and not conformally diffeomorphic to the standard sphere, we prove that the only conformal metrics to g with constant Q-curvature of order 4 are the metrics \(\lambda \) g with \(\lambda > 0\) constant.

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封闭爱因斯坦曲率恒定的共形度量的唯一性

在具有正标量曲率且不与标准球面保角衍射的光滑闭合爱因斯坦流形（M, g）上，我们证明了唯一具有4阶恒定Q曲率的g的保角度量是具有恒定Q曲率的度量（（\lambda \）g）。

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.