
Journal of Lie Theory 34 (2024), No. 2, 319338 Copyright Heldermann Verlag 2024 Harmonic Vector Fields on 4Dimensional Lorentzian Oscillator Groups Zhiqi Chen School of Mathematics and Statistics, Guangdong University of Technology, Guangzhou, P. R. China chenzhiqi@nankai.edu.cn Bichao Sun School of Microelectronics and Data Science, Anhui University of Technology, Maanshan, P. R. China sbc15855629509@163.com Ju Tan School of Microelectronics and Data Science, Anhui University of Technology, Maanshan, P. R. China tanju2007@163.com We first give the Milnortype theorem on the 4dimensional Lorentzian oscillator group. Then we study harmonic sections and the critical point for the energy functional restricted to vector fields of the same length. Keywords: Harmonic vector fields, harmonic sections, oscillator group. MSC: 22E25, 53C30, 53C50. [ Fulltextpdf (164 KB)] for subscribers only. 