Ricci ϕ-invariance on almost cosymplectic three-manifolds

IF 1 4区数学 Q1 MATHEMATICS

Open Mathematics Pub Date : 2023-11-28 DOI:10.1515/math-2023-0156

Quanxiang Pan

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引用次数: 0

Abstract

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.

查看原文本刊更多论文

几乎余辛三流形上的Ricci -不变性

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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来源期刊

Open Mathematics MATHEMATICS-

CiteScore

2.40

自引率

5.90%

发文量

审稿时长

16 weeks

期刊介绍： Open Mathematics - formerly Central European Journal of Mathematics Open Mathematics is a fully peer-reviewed, open access, electronic journal that publishes significant, original and relevant works in all areas of mathematics. The journal provides the readers with free, instant, and permanent access to all content worldwide; and the authors with extensive promotion of published articles, long-time preservation, language-correction services, no space constraints and immediate publication. Open Mathematics is listed in Thomson Reuters - Current Contents/Physical, Chemical and Earth Sciences. Our standard policy requires each paper to be reviewed by at least two Referees and the peer-review process is single-blind. Aims and Scope The journal aims at presenting high-impact and relevant research on topics across the full span of mathematics. Coverage includes: