Geodesic
Harmonic Vector Fields on 4-Dimensional Lorentzian Oscillator Groups
Journal of Lie theory, Tome 34 (2024) no. 2, pp. 319-338
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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.
Classification : 22E25, 53C30, 53C50
Mots-clés : Harmonic vector fields, harmonic sections, oscillator group 
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     author = {Z. Chen and B. Sun and J. 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},
     url = {http://geodesic.mathdoc.fr/item/JLT_2024_34_2_JLT_2024_34_2_a2/}
}
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Z. Chen; B. Sun; J. Tan. Harmonic Vector Fields on 4-Dimensional Lorentzian Oscillator Groups. Journal of Lie theory, Tome 34 (2024) no. 2, pp. 319-338. http://geodesic.mathdoc.fr/item/JLT_2024_34_2_JLT_2024_34_2_a2/