RICCI SOLITONS AND RICCI BI-CONFORMAL VECTOR FIELDS ON THE LIE GROUP ℍ2 × ℝ

IF 1 4区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Reports on Mathematical Physics Pub Date : 2024-04-01 DOI:10.1016/S0034-4877(24)00028-4

Shahroud Azami, Mehdi Jafari

引用次数: 0

Abstract

In the present paper, we investigate the 3-dimensional Lie group (ℍ² × ℝ, g) where g is a left-invariant Riemannian metric and we determine the Ricci solitons and Ricci bi-conformal vector fields on it.

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里奇孤子和里奇双共形矢量场上的谎群ℍ2 × ℝ

在本文中，我们研究了三维李群（ℍ2 × ℝ，g），其中 g 是左不变黎曼度量，并确定了其上的利玛窦孤子和利玛窦双共形矢量场。

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

Reports on Mathematical Physics 物理-物理：数学物理

CiteScore

1.80

自引率

0.00%

发文量

审稿时长

6 months

期刊介绍： Reports on Mathematical Physics publish papers in theoretical physics which present a rigorous mathematical approach to problems of quantum and classical mechanics and field theories, relativity and gravitation, statistical physics, thermodynamics, mathematical foundations of physical theories, etc. Preferred are papers using modern methods of functional analysis, probability theory, differential geometry, algebra and mathematical logic. Papers without direct connection with physics will not be accepted. Manuscripts should be concise, but possibly complete in presentation and discussion, to be comprehensible not only for mathematicians, but also for mathematically oriented theoretical physicists. All papers should describe original work and be written in English.