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).
引用
收藏
页码：907 / 924
页数：17
相关论文
共 47 条
[31]   Harmonic unit normal sections of Grassmannians associated with cross products [J].
Ferraris, Francisco ;
Moas, Ruth Paola ;
Salvai, Marcos .
REVISTA MATEMATICA COMPLUTENSE, 2023, 36 (02) :443-468
[32]   Minimal Reeb vector fields on almost Kenmotsu manifolds [J].
Wang, Yaning .
CZECHOSLOVAK MATHEMATICAL JOURNAL, 2017, 67 (01) :73-86
[33]   Minimal Reeb vector fields on almost Kenmotsu manifolds [J].
Yaning Wang .
Czechoslovak Mathematical Journal, 2017, 67 :73-86
[34]   Harmonic unit normal sections of Grassmannians associated with cross products [J].
Francisco Ferraris ;
Ruth Paola Moas ;
Marcos Salvai .
Revista Matemática Complutense, 2023, 36 :443-468
[35]   Totally Geodesic and Parallel Hypersurfaces of Four-Dimensional Oscillator Groups [J].
Giovanni Calvaruso ;
Joeri Van der Veken .
Results in Mathematics, 2013, 64 :135-153
[36]   Totally Geodesic and Parallel Hypersurfaces of Four-Dimensional Oscillator Groups [J].
Calvaruso, Giovanni ;
Van der Veken, Joeri .
RESULTS IN MATHEMATICS, 2013, 64 (1-2) :135-153
[37]   A loop group method for affine harmonic maps into Lie groups [J].
Dorfraeister, Josef F. ;
Inoguchi, Jim-ichi ;
Kobayashi, Shimpei .
ADVANCES IN MATHEMATICS, 2016, 298 :207-253
[38]   Factorization and symplectic uniton numbers for harmonic maps into symplectic groups [J].
Qun He ;
Yibing Shen .
Science in China Series A: Mathematics, 2001, 44 :1225-1235
[39]   Factorization and symplectic uniton numbers for harmonic maps into symplectic groups [J].
贺群 ;
沈一兵 .
Science China Mathematics, 2001, (10) :1225-1235
[40]   Factorization and symplectic uniton numbers for harmonic maps into symplectic groups [J].
He, Q ;
Shen, YB .
SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY, 2001, 44 (10) :1225-1235
12345