Canonical Connections and Algebraic Ricci Solitons of Three-dimensional Lorentzian Lie Groups

作     者：Yong WANG Yong WANG

作者机构：School of Mathematics and StatisticsNortheast Normal UniversityChangchun 130024China 

出 版 物：《Chinese Annals of Mathematics,Series B》 (数学年刊（B辑英文版）)

年 卷 期：2022年第43卷第3期

页      面：443-458页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：supported by the National Natural Science Foundation of China(No.11771070) 

主　　题：Canonical connections Kobayashi-Nomizu connections Algebraic Ricci solitons Three-dimensional Lorentzian Lie groups 

摘      要：In this paper,the author computes canonical connections and Kobayashi-Nomizu connections and their curvature on three-dimensional Lorentzian Lie groups with some product structure.He defines algebraic Ricci solitons associated to canonical connections and Kobayashi-Nomizu connections.He classifies algebraic Ricci solitons associated to canonical connections and Kobayashi-Nomizu connections on three-dimensional Lorentzian Lie groups with some product structure.