Invariant harmonic unit vector fields on the oscillator groups

被引：0
|
作者：
Na Xu
Ju Tan
机构：
[1] Anhui University of Technology,School of Mathematics and Physics
来源：
Czechoslovak Mathematical Journal | 2019年 / 69卷
关键词：
harmonic vector field; harmonic map; oscillator group; 53C25; 53C43;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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 G1(1).
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页码：907 / 924
页数：17
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