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

Abstract

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.

Keywords

Canonical connections / Kobayashi-Nomizu connections / Algebraic Ricci solitons / Three-dimensional Lorentzian Lie groups

References

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