The Vector Fields Admitting One-Parameter Spatial Symmetry Group and Their Reduction

Huang Debin; Zhao Xiaohua

Volume 21 Issue 2

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Article Navigation > Applied Mathematics and Mechanics > 2000 > 21(2): 154-160

Huang Debin, Zhao Xiaohua. The Vector Fields Admitting One-Parameter Spatial Symmetry Group and Their Reduction[J]. Applied Mathematics and Mechanics, 2000, 21(2): 154-160.

Citation:

Huang Debin, Zhao Xiaohua. The Vector Fields Admitting One-Parameter Spatial Symmetry Group and Their Reduction[J]. Applied Mathematics and Mechanics, 2000, 21(2): 154-160.

Citation:

Huang Debin, Zhao Xiaohua. The Vector Fields Admitting One-Parameter Spatial Symmetry Group and Their Reduction[J]. Applied Mathematics and Mechanics, 2000, 21(2): 154-160.

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The Vector Fields Admitting One-Parameter Spatial Symmetry Group and Their Reduction

Huang Debin^1,2,
Zhao Xiaohua³

1.
LNM, Institute of Mechanics, Academia Sinica, Beijing 100080, P. R. China;
2.
Department of Mathematics, Shanghai University, Shanghai 201800, P. R. China;
3.
Department of Mathematics, Yunnan University, Kunming 650091, P. R. China

Received Date: 1997-01-20
Rev Recd Date: 1999-04-28
Publish Date: 2000-02-15

Abstract

Abstract

For a n-dimensional vector fields preserving some n-form,the following conclusion is reached by the method of Lie group.That is,if it admits a one-parameter,n-form preserving symmetry group,a transformation independent of the vector field is constructed explicitly,which can reduce not only dimesion of the vector field by one,but also make the reduced vector field preserve the corresponding(n-1)-form.In particular,while n=3,an important result can be directly got which is given by Mezie and Wiggins in 1994.
- vector field,
- symmtry group,
- Lie group,
- reduction,
- preserving n-form

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References(11)

References

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