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

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 classifie...

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Bibliographic Details
Published inChinese annals of mathematics. Serie B Vol. 43; no. 3; pp. 443 - 458
Main Author Wang, Yong
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.05.2022
Springer Nature B.V
School of Mathematics and Statistics,Northeast Normal University,Changchun 130024,China
Subjects
Algebra
Applications of Mathematics
Lie groups
Mathematics
Mathematics and Statistics
Solitary waves
53C42
53C40
Canonical connections
Three-dimensional Lorentzian Lie groups
Kobayashi-Nomizu connections
Algebraic Ricci solitons
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Summary: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.
ISSN:0252-9599
1860-6261
DOI:10.1007/s11401-022-0334-5