Invariant harmonic unit vector fields on oscillator groups

Tan Ju; Deng Shaoqiang

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Invariant harmonic unit vector fields on oscillator groups

Tan Ju,Deng Shaoqiang * #

School of Mathematical Sciences, Nankai University, Tianjin 300071

*Correspondence author

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Funding: SRFDP of China （No.20130031110005）

Opened online:12 May 2017

Accepted by: none

Citation: Tan Ju,Deng Shaoqiang.Invariant harmonic unit vector fields on oscillator groups[OL]. [12 May 2017] http://en.paper.edu.cn/en_releasepaper/content/4733164

In this paper, 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 $G_1(1)$.

Keywords:Oscillator groups; Harmonic vector fields; Harmonic maps

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