Harmonic Vector Fields on 4-Dimensional Lorentzian Oscillator Groups

Z. Chen; B. Sun; J. Tan

doi:10.5802/jolt.1337

Z. Chen; B. Sun; J. Tan

Journal of Lie Theory, Volume 34 (2024) no. 2, pp. 319-338

Abstract

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.

Zbl

DOI: 10.5802/jolt.1337

Classification: 22E25, 53C30, 53C50
Keywords: Harmonic vector fields, harmonic sections, oscillator group

@article{JOLT_2024_34_2_a2,
     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},
     doi = {10.5802/jolt.1337},
     zbl = {1546.53052},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.1337/}
}

TY  - JOUR
AU  - Z. Chen
AU  - B. Sun
AU  - J. Tan
TI  - Harmonic Vector Fields on 4-Dimensional Lorentzian Oscillator Groups
JO  - Journal of Lie Theory
PY  - 2024
SP  - 319
EP  - 338
VL  - 34
IS  - 2
UR  - https://jolt.centre-mersenne.org/articles/10.5802/jolt.1337/
DO  - 10.5802/jolt.1337
ID  - JOLT_2024_34_2_a2
ER  -

%0 Journal Article
%A Z. Chen
%A B. Sun
%A J. Tan
%T Harmonic Vector Fields on 4-Dimensional Lorentzian Oscillator Groups
%J Journal of Lie Theory
%D 2024
%P 319-338
%V 34
%N 2
%U https://jolt.centre-mersenne.org/articles/10.5802/jolt.1337/
%R 10.5802/jolt.1337
%F JOLT_2024_34_2_a2

Z. Chen; B. Sun; J. 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

Cited by Sources: