The Euler-Lagrange cohomology and general volume-preserving systems

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	The Euler-Lagrange cohomology and general volume-preserving systems
	Zhou, B ; Guo, HY ; Pan, HZ ; Wu, K
	2003-09-07
发表期刊	MODERN PHYSICS LETTERS A
ISSN	0217-7323
卷号	18 期号:27 页码:1911-1923
摘要	We briefly introduce the concept of Euler-Lagrange cohomology groups on a symplectic manifold (M-2n,omega) and systematically present the general form of volume-preserving equations on the manifold from the cohomological point of view. It is shown that for every volume-preserving flow generated by these equations there is an important two-form that plays the analog role with the Hamiltonian in the Hamilton mechanics. In addition, the ordinary canonical equations with Hamiltonian H are included as a special case with the two-form 1/n-1 1 1 Homega. The other volume preserving systems on (M-2n ,omega) are studied. The relations between our approach and Feng-Shang's volume-preserving systems as well as the Nambu mechanics are also explored.
关键词	Euler-Lagrange cohomology symplectic volume-preserving
语种	英语
WOS研究方向	Physics
WOS类目	Physics, Nuclear ; Physics, Particles & Fields ; Physics, Mathematical
WOS记录号	WOS:000185126000006
出版者	WORLD SCIENTIFIC PUBL CO PTE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/18275
专题	中国科学院数学与系统科学研究院
通讯作者	Zhou, B
作者单位	1.Chinese Acad Sci, Inst High Energy Phys, Beijing 100039, Peoples R China 2.Chinese Acad Sci, Inst Theoret Phys, Beijing 100080, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China 4.Capital Normal Univ, Dept Math, Beijing 100037, Peoples R China
推荐引用方式 GB/T 7714	Zhou, B,Guo, HY,Pan, HZ,et al. The Euler-Lagrange cohomology and general volume-preserving systems[J]. MODERN PHYSICS LETTERS A,2003,18(27):1911-1923.
APA	Zhou, B,Guo, HY,Pan, HZ,&Wu, K.(2003).The Euler-Lagrange cohomology and general volume-preserving systems.MODERN PHYSICS LETTERS A,18(27),1911-1923.
MLA	Zhou, B,et al."The Euler-Lagrange cohomology and general volume-preserving systems".MODERN PHYSICS LETTERS A 18.27(2003):1911-1923.