| HAMILTONIAN MECHANICS ON KAHLER MANIFOLDS |
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| 作者姓名： | 张荣业 |
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| 作者单位： | Institute of |
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| 摘 要： | Using the mechanical principle, the theory of modern geometry and advanced calculus, Hamiltonian mechanics was generalized to Kahler manifolds, and the Hamiltonian mechanics on Kahler manifolds was established. Then the complex mathematical aspect of Hamiltonian vector field and Hamilton's equations was obtained, and so on.
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| 关 键 词： | 哈密顿力学 全微分 哈密顿向量 参数组 |
| 收稿时间： | 2004-11-10 |
| 修稿时间： | 2005-11-04 |
Hamiltonian mechanics on Kähler manifolds |
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| Rong-ye Zhang.HAMILTONIAN MECHANICS ON KAHLER MANIFOLDS[J].Applied Mathematics and Mechanics(English Edition),2006,27(3):353-362. |
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| Authors: | Rong-ye Zhang |
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| Institution: | Institute of Mathematis, Chinese Academy of Sciences, Beijing 100080, P. R. China |
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| Abstract: | Using the mechanical principle, the theory of modern geometry and advanced calculus, Hamiltonian mechanics was generalized to Kahler manifolds, and the Hamiltonian mechanics on Kahler manifolds was established. Then the complex mathematical aspect of Hamiltonian vector field and Hamilton's equations was obtained, and so on. |
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| Keywords: | Kahler manifold connection absolute differential Lie derivative Hamiltonian vector 1-parameter group |
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