The Product Structure and Algebraic Ricci Solitons of Three-dimensional Lorentzian Lie Groups
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Abstract
In this paper, we define a product structure on three-dimensional Lorentzian Lie groups. We compute canonical connections and Kobayashi-Nomizu connections and their curvature with this product structure. We classify algebraic Ricci solitons associ- ated to canonical connections and Kobayashi-Nomizu connections on three-dimensional Lorentzian Lie groups with this product structure.
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