| Jacobi-Dirac结构及其特征对、对偶特征对 |
| |
| 引用本文： | 刘玲,尹彦彬. Jacobi-Dirac结构及其特征对、对偶特征对[J]. 北京机械工业学院学报, 2010, 25(3): 85-87 |
| |
| 作者姓名： | 刘玲 尹彦彬 |
| |
| 作者单位： | 刘玲,LIU Ling(北京信息科技大学理学院,北京,100192);尹彦彬,YIN Yan-bin(河南大学数学学院,河南开封,475004) |
| |
| 摘 要： | 将李双代数胚的Dirac结构推广到Jacobi双代数胚的Jacobi-Dirac结构；同时，将Dirac结构的特征对推广到Jacobi-Dirac结构的特征对，并给出其对偶特征对。有了这些工具，利用Dirac结构进行Poisson流形的约化即可对应地推广到利用Jacobi—Dirac结构进行Jacobi流形的约化。
|
| 关 键 词： | Jacobi—Dirac结构 特征对 对偶特征对 流形 约化 |
Jacobi-Dirac structure and its characteristic pairs and dual characteristic pairs |
| |
| LIU Ling,YIN Yan-bin. Jacobi-Dirac structure and its characteristic pairs and dual characteristic pairs[J]. Journal of Beijing Institute of Machinery, 2010, 25(3): 85-87 |
| |
| Authors: | LIU Ling YIN Yan-bin |
| |
| Affiliation: | 1. School of Applied Sciences, Beijing Information Science and Technology University, Beijing 100192, China; 2. School of Mathematics and Information Science, Henan University, Kaifeng 475004, China) |
| |
| Abstract: | The Dirac structure of Lie bialgebroid is generalized to Jacobi-Dirac structure of Jacobi bialgebroid. Meanwhile, the characteristic pair and dual characteristic pair are also generalized to those of Jacobi-Dirac structure, with which the reduction of Jacobi manifolds can be processed as those of Poisson manifolds. |
| |
| Keywords: | Jacobi-Dirac structure characteristic pair dual characteristic pair manifold reduction |
| 本文献已被 维普 万方数据 等数据库收录！ |
