Journal of Lie Theory 30 (2020), No. 3, 691--703
Copyright Heldermann Verlag 2020
Conformal Vector Fields on Lorentzian Lie Groups of Dimension 5
Hui Zhang
School of Mathematical Sciences and LPMC, Nankai University, Tianjin 300071, P. R. China
2120160023@mail.nankai.edu.cn
Zhiqi Chen
School of Mathematical Sciences and LPMC, Nankai University, Tianjin 300071, P. R. China
chenzhiqi@nankai.edu.cn
Shaoxiang Zhang
School of Mathematical Sciences and LPMC, Nankai University, Tianjin 300071, P. R. China
zhangshaoxiang@mail.nankai.edu.cn
We classify Lorentzian Lie groups of dimension 5 which admit left-invariant non-Killing conformal vector fields.
Keywords: Conformal vector fields, Killing vector fields, Lorentzian Lie groups.
MSC: 53C25, 22E60.
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