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| Canonical Connections and Algebraic Ricci Solitons of Three-dimensional Lorentzian Lie Groups* |
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Citation： |
Yong WANG.Canonical Connections and Algebraic Ricci Solitons of Three-dimensional Lorentzian Lie Groups*[J].Chinese Annals of Mathematics B,2022,43(3):443~458 |
| Page view： 618
Net amount： 658 |
Authors： |
Yong WANG; |
Foundation： |
National Natural Science Foundation of China (No. 11771070). |
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| Abstract： |
In this paper, the author computes canonical connections and KobayashiNomizu 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. |
Keywords： |
Canonical connections, Kobayashi-Nomizu connections, Algebraic Ricci solitons, Three-dimensional Lorentzian Lie groups |
Classification： |
53C40, 53C42 |
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