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arXiv · 2106.03045

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

Tong Wu·Yong Wang
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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.

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Tong Wu, Yong Wang. 2021-06-06. Codazzi tensors and the quasi-statistical structure associated to affine connections on three-dimensional Lorentzian Lie groups. https://arxiv.org/abs/2106.03045

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