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

作　　者：Yong WANG 

机构地区：[1]School of Mathematics and Statistics,Northeast Normal University,Changchun 130024,China

出　　处：《Chinese Annals of Mathematics,Series B》2022年第3期443-458,共16页数学年刊（B辑英文版）

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

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.

关 键 词：Canonical connections Kobayashi-Nomizu connections Algebraic Ricci solitons Three-dimensional Lorentzian Lie groups 

分 类 号：O152.5[理学—数学]