Journal of Lie Theory 28 (2018), No. 3, 757--765
Copyright Heldermann Verlag 2018
Conformal Vector Fields on Lorentzian Lie Groups of Dimension 4
Ju Tan
School of Mathematics and Physics, Anhui University of Technology, Maanshan 243032, P. R. China
tanju2007@mail.nankai.edu.cn
Zhiqi Chen
School of Mathematical Sciences, Nankai University, Tianjin 300071, P. R. China
chenzhiqi@nankai.edu.cn
Na Xu
School of Mathematics and Physics, Anhui University of Technology, Maanshan 243032, P. R. China
xuna406@163.com
We classify Lorentzian Lie groups of dimension 4 which admit non-Killing left-invariant conformal vector fields.
Keywords: Conformal vector fields, Killing vector field, Lie group.
MSC: 53C25, 22E60
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