Journal of Lie Theory

no. 2
Harmonic Vector Fields on 4-Dimensional Lorentzian Oscillator Groups
Zhiqi Chen1; Bichao Sun2; Ju Tan2
1School of Mathematics and Statistics, Guangdong University of Technology, Guangzhou, P. R. China
2School of Microelectronics and Data Science, Anhui University of Technology, Maanshan, P. R. China
Journal of Lie Theory, Volume 34 (2024) no. 2, pp. 319-338
We first give the Milnor-type theorem on the 4-dimensional Lorentzian oscillator group. Then we study harmonic sections and the critical point for the energy functional restricted to vector fields of the same length.
DOI: 10.5802/jolt.1337
Classification: 22E25, 53C30, 53C50
Keywords: Harmonic vector fields, harmonic sections, oscillator group

Zhiqi Chen  1 ; Bichao Sun  2 ; Ju Tan  2

1 School of Mathematics and Statistics, Guangdong University of Technology, Guangzhou, P. R. China
2 School of Microelectronics and Data Science, Anhui University of Technology, Maanshan, P. R. China 
Zhiqi Chen; Bichao Sun; Ju Tan. Harmonic Vector Fields on 4-Dimensional Lorentzian Oscillator Groups. Journal of Lie Theory, Volume 34 (2024) no. 2, pp. 319-338. doi: 10.5802/jolt.1337
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     author = {Zhiqi Chen and Bichao Sun and Ju Tan},
     title = {Harmonic {Vector} {Fields} on {4-Dimensional} {Lorentzian} {Oscillator} {Groups}},
     journal = {Journal of Lie Theory},
     pages = {319--338},
     year = {2024},
     volume = {34},
     number = {2},
     doi = {10.5802/jolt.1337},
     zbl = {1546.53052},
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