The Euler-Lagrange cohomology on symplectic manifolds
文献类型：会议论文
| 作者 | Guo, HY; Pan, JZ; Wu, K; Zhou, B |
| 出版日期 | 2004 |
| 会议日期 | AUG 30-SEP 02, 2002 |
| 会议地点 | Univ Sci & Technol, Beijing, PEOPLES R CHINA |
| 关键词 | DISCRETE VARIATIONAL-PRINCIPLES MULTISYMPLECTIC STRUCTURES |
| DOI | 10.1142/9789812702500_0012 |
| 页码 | 182-207 |
| 英文摘要 | The definition and properties of the Euler-Lagrange cohomology groups H-EL(2k-1), 1 <= k <= n, on a symplectic manifold (M-2n, omega) are given and studied. For k = 1 and k = n, they are isomorphic to the corresponding de Rham cohomology groups H-dR(1)(M-2n) and H-dR(2n-1)(M-2n), respectively. The other Euler-Lagrange cohomology groups are different from either the de Rham cohomology groups or the ones with respect to the harmonic forms on (M-2n, omega), in general. The general volume-preserving equations on (M-2n,omega) are also presented from cohomological. point of view. In the special cases, these equations become the ordinary Hamiltonian equations. |
| 源文献作者 | Univ Sci & Technol |
| 会议录 | GEOMETRIC FUNCTION THEORY IN SEVERAL COMPLEX VARIABLES
 |
| 会议录出版者 | WORLD SCIENTIFIC PUBL CO PTE LTD |
| 会议录出版地 | SINGAPORE |
| 语种 | 英语 |
| URL标识 | 查看原文 |
| WOS研究方向 | Mathematics |
| ISBN号 | 981-256-023-8 |
| 源URL | [http://ir.itp.ac.cn/handle/311006/23724]  |
| 专题 | SCI会议论文 |
| 作者单位 | Chinese Acad Sci, Inst Theoret Phys, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Guo, HY,Pan, JZ,Wu, K,et al. The Euler-Lagrange cohomology on symplectic manifolds[C]. 见:. Univ Sci & Technol, Beijing, PEOPLES R CHINA. AUG 30-SEP 02, 2002. |
入库方式： OAI收割
来源：理论物理研究所
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