Geodesic
Invariant harmonic unit vector fields on the oscillator groups
Czechoslovak Mathematical Journal, Tome 69 (2019) no. 4, pp. 907-924
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We find all the left-invariant harmonic unit vector fields on the oscillator groups. Besides, we determine the associated harmonic maps from the oscillator group into its unit tangent bundle equipped with the associated Sasaki metric. Moreover, we investigate the stability and instability of harmonic unit vector fields on compact quotients of four dimensional oscillator group $G_1(1)$.
We find all the left-invariant harmonic unit vector fields on the oscillator groups. Besides, we determine the associated harmonic maps from the oscillator group into its unit tangent bundle equipped with the associated Sasaki metric. Moreover, we investigate the stability and instability of harmonic unit vector fields on compact quotients of four dimensional oscillator group $G_1(1)$.
DOI : 10.21136/CMJ.2019.0538-17
Classification : 53C25, 53C43
Keywords: harmonic vector field; harmonic map; oscillator group 
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Xu, Na; Tan, Ju. Invariant harmonic unit vector fields on the oscillator groups. Czechoslovak Mathematical Journal, Tome 69 (2019) no. 4, pp. 907-924. doi: 10.21136/CMJ.2019.0538-17

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