Codazzi Tensors and the Quasi-Statistical Structure Associated with Affine Connections on Three-Dimensional Lorentzian Lie Groups

被引：2
|
作者：
Wu, Tong [1 ]
Wang, Yong [1 ]
机构：
[1] Northeast Normal Univ, Sch Math & Stat, Changchun 130024, Peoples R China
来源：
SYMMETRY-BASEL | 2021年 / 13卷 / 08期
基金：
中国国家自然科学基金;
关键词：
Codazzi tensors; Bott connections; canonical connections; Kobayashi-Nomizu connections; the quasi-statistical structure;
D O I：
10.3390/sym13081459
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In this paper, we classify three-dimensional Lorentzian Lie groups on which Ricci tensors associated with Bott connections, canonical connections and Kobayashi-Nomizu connections are Codazzi tensors associated with these connections. We also classify three-dimensional Lorentzian Lie groups with the quasi-statistical structure associated with Bott connections, canonical connections and Kobayashi-Nomizu connections.
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页数：30
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