Codazzi tensors and the quasi-statistical structure associated to affine connections on three-dimensional Lorentzian Lie groups
Differential Geometry
2021-06-08 v1
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.
Keywords
Cite
@article{arxiv.2106.03045,
title = {Codazzi tensors and the quasi-statistical structure associated to affine connections on three-dimensional Lorentzian Lie groups},
author = {Tong Wu and Yong Wang},
journal= {arXiv preprint arXiv:2106.03045},
year = {2021}
}