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三维洛伦兹李群上与矢野连接相关的亲和代数里奇孤子

IF 1.4 4区 物理与天体物理 Q2 MATHEMATICS, APPLIED
Journal of Nonlinear Mathematical Physics Pub Date : 2024-03-14 DOI:10.1007/s44198-024-00178-0
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引用次数: 0

摘要

摘要 本文计算了具有某种乘积结构的三维洛伦兹李群上矢野连接的曲率。我们定义了与矢野连接相关的仿射代数里奇孤子，并对三维洛伦兹李群上与矢野连接相关的左不变仿射代数里奇孤子进行了分类。
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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Affine Algebraic Ricci Solitons Associated to the Yano Connections on Three-Dimensional Lorentzian Lie Groups

Abstract

In this paper, we compute curvatures of Yano connections on three-dimensional Lorentzian Lie groups with some product structure. We define affine algebraic Ricci solitons associated to Yano connections and classify left-invariant affine algebraic Ricci solitons associated to Yano connections on three-dimensional Lorentzian Lie groups.

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来源期刊
Journal of Nonlinear Mathematical Physics
Journal of Nonlinear Mathematical Physics PHYSICS, MATHEMATICAL-PHYSICS, MATHEMATICAL
CiteScore
1.60
自引率
0.00%
发文量
67
审稿时长
3 months
期刊介绍： Journal of Nonlinear Mathematical Physics (JNMP) publishes research papers on fundamental mathematical and computational methods in mathematical physics in the form of Letters, Articles, and Review Articles. Journal of Nonlinear Mathematical Physics is a mathematical journal devoted to the publication of research papers concerned with the description, solution, and applications of nonlinear problems in physics and mathematics. The main subjects are: -Nonlinear Equations of Mathematical Physics- Quantum Algebras and Integrability- Discrete Integrable Systems and Discrete Geometry- Applications of Lie Group Theory and Lie Algebras- Non-Commutative Geometry- Super Geometry and Super Integrable System- Integrability and Nonintegrability, Painleve Analysis- Inverse Scattering Method- Geometry of Soliton Equations and Applications of Twistor Theory- Classical and Quantum Many Body Problems- Deformation and Geometric Quantization- Instanton, Monopoles and Gauge Theory- Differential Geometry and Mathematical Physics
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