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

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 re...

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Bibliographic Details
Published in:Symmetry (Basel) 2022-08, Vol.14 (8), p.1730
Main Authors: Miao, Jiajing, Yang, Jinli, Guan, Jianyun
Format: Article
Language:English
Subjects:
Classification
Codazzi tensors
Lie groups
Lorentzian Lie group
Mathematical analysis
Tensors
Theorems
Yano connectoins
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Summary: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.
ISSN:2073-8994
2073-8994
DOI:10.3390/sym14081730