几乎余辛三流形上的Ricci -不变性

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research Pub Date : 2023-11-28 DOI:10.1515/math-2023-0156

Quanxiang Pan

引用次数: 0

摘要

设M³{M}³{是一个严格概余辛三流形，其Ricci算子弱φ }\phi不变。本文证明了m3m ^{3}的Ricci曲率沿Reeb流是不变的，当且仅当m3m ^{3}局部等距于具有左不变几乎余弦结构的Minkowski 2-空间刚性运动的Lie群E (1,1) E {}{}\left(1,1)。

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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Ricci ϕ-invariance on almost cosymplectic three-manifolds

Let

M 3

{M}^{3}

be a strictly almost cosymplectic three-manifold whose Ricci operator is weakly

\phi

-invariant. In this article, it is proved that Ricci curvatures of

M 3

{M}^{3}

are invariant along the Reeb flow if and only if

M 3

{M}^{3}

is locally isometric to the Lie group

E ( 1 , 1 )

E\left(1,1)

of rigid motions of the Minkowski 2-space equipped with a left-invariant almost cosymplectic structure.

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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.

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