| Jacobi双代数胚的形变 |
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| 引用本文： | 廖丽娜.Jacobi双代数胚的形变[J].宁夏大学学报(自然科学版),2006,27(3):225-229,233. |
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| 作者姓名： | 廖丽娜 |
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| 作者单位： | 首都师范大学,数学系,北京,100037 |
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| 摘 要： | 对李双代数胚的形变问题进行了推广，讨论了在Jacobi双代数胚上用Nijenhuis算子进行形变从而得到一个新的Jacobi双代数胚——形变Jacobi双代数胚的充分必要条件．同时，也给出了形变Jacobi双代数胚与Jacohi—Nijenhuis流形之间的关系，并给出了例子。
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| 关 键 词： | Jacobi双代数胚 Nijenhuis算子 Jacobi-Nijenhuis流形 |
| 文章编号： | 0253-2328（2006）03-0225-05 |
| 收稿时间： | 2006-04-12 |
| 修稿时间： | 2006-04-12 |
Deformations of Jacobi Bialgebroid |
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| Liao Lina.Deformations of Jacobi Bialgebroid[J].Journal of Ningxia University(Natural Science Edition),2006,27(3):225-229,233. |
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| Authors: | Liao Lina |
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| Institution: | Department of Mathematics, Capital Normal University, Beijing 100037, China |
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| Abstract: | Associate with each differentiable manifold M equipped with a Jacobi structure and a Nijenhuis operator,a pair of Lie algebroids in duality. And the necessary and sufficient conditions for this pair to constitute a Jacobi bialgebroids is proved. Several examples are discussed. |
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| Keywords: | Jacobi bialgebroids Nijenhuis operator Jacobi-Nijenhuis structures |
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