Conformal invariance and conserved quantities of Birkhoff systems under second-class Mei symmetry

doi:10.1088/1674-1056/20/2/021102

Abstract This paper proposes a new concept of the conformal invariance and the conserved quantities for Birkhoff systems under second-class Mei symmetry. The definition about conformal invariance of Birkhoff systems under second-class Mei symmetry is given. The conformal factor in the determining equations is found. The relationship between Birkhoff system's conformal invariance and second-class Mei symmetry are discussed. The necessary and sufficient conditions of conformal invariance, which are simultaneously of second-class symmetry, are given. And Birkhoff system's conformal invariance may lead to corresponding Mei conserved quantities, which is deduced directly from the second-class Mei symmetry when the conformal invariance satisfies some conditions. Lastly, an example is provided to illustrate the application of the result.

Keywords: second-class Mei symmetry conformal invariance conserved quantity Birkhoff system

Received: 25 July 2010
Revised: 14 September 2010
Accepted manuscript online:

PACS:	11.30.-j	(Symmetry and conservation laws)
	02.40.Yy	(Geometric mechanics)
	02.20.Sv	(Lie algebras of Lie groups)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11072218) and the Natural Science Foundation of Zhejiang Province of China (Grant No. Y6100337).

Cite this article:

Luo Yi-Ping(罗一平) and Fu Jin-Li(傅景礼) Conformal invariance and conserved quantities of Birkhoff systems under second-class Mei symmetry 2011 Chin. Phys. B 20 021102

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Conformal invariance and conserved quantities of Birkhoff systems under second-class Mei symmetry

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