Codazzi tensors and the quasi-statistical structure associated to affine connections on three-dimensional Lorentzian Lie groups

Abstract

In this paper, we classify three-dimensional Lorentzian Lie groups on which Ricci tensors associated to Bott connections, canonical connections and Kobayashi-Nomizu connections are Codazzi tensors associated to these connections. We also classify three-dimensional Lorentzian Lie group with the quasi-statistical structure associated to Bott connections, canonical connections and Kobayashi-Nomizu connections.

References in corpus (3)

• Distinguished connections on $(J^2=\pm 1)$-metric manifolds
• $\alpha$-connections in generalized geometry
• Canonical connections and algebraic Ricci solitons of three-dimensional Lorentzian Lie groups