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Canonical connections and algebraic Ricci solitons of three-dimensional Lorentzian Lie groups (2001.11656v2)
Published 31 Jan 2020 in math.DG
Abstract: In this paper, we compute canonical connections and Kobayashi-Nomizu connections and their curvature on three-dimensional Lorentzian Lie groups with some product structure. We define algebraic Ricci solitons associated to canonical connections and Kobayashi-Nomizu connections. We classify algebraic Ricci solitons associated to canonical connections and Kobayashi-Nomizu connections on three-dimensional Lorentzian Lie groups with some product structure.
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