NDLI: Classification of Lorentzian Lie Groups Based on Codazzi Tensors Associated with Yano Connections

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Classification of Lorentzian Lie Groups Based on Codazzi Tensors Associated with Yano Connections

Content Provider	MDPI
Author	Miao, Jiajing Yang, Jinli Guan, Jianyun
Copyright Year	2022
Description	In this paper, we derive the expressions of Codazzi tensors associated with Yano connections in seven Lorentzian Lie groups. Furthermore, we complete the classification of three-dimensional Lorentzian Lie groups in which Ricci tensors associated with Yano connections are Codazzi tensors. The main results are listed in a table, and indicate that $G1$ and $G7$ do not have Codazzi tensors associated with Yano connections, $G2$ , $G3$ , $G4$ , $G5$ and $G6$ have Codazzi tensors associated with Yano connections.
Starting Page	1730
e-ISSN	20738994
DOI	10.3390/sym14081730
Journal	Symmetry
Issue Number	8
Volume Number	14
Language	English
Publisher	MDPI
Publisher Date	2022-08-18
Access Restriction	Open
Subject Keyword	Symmetry Codazzi Tensors Yano Connectoins Lorentzian Lie Group
Content Type	Text
Resource Type	Article

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