| K(a)hler流形上的不变形式和积分不变量 |
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| 引用本文： | 张荣业.K(a)hler流形上的不变形式和积分不变量[J].应用数学和力学,2006,27(2):243-252. |
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| 作者姓名： | 张荣业 |
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| 作者单位： | 中国科学院,数学研究所,北京,100080 |
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| 摘 要： | 用现代微分几何理论和高等微积分把Poincare和Cartan-Poincare积分不变量的晕要思想和结果以及E．Cartan在经典力学中首先建立的积分不变量和不变形式的关系推广到Kahler流形上的Hamilton力学中去，得到相应的更广泛的结果．
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| 关 键 词： | K(a)hler流形 Symplectic流形 不变形式 积分不变量 向量场 形式场 Lie导数 外微分 |
| 文章编号： | 1000-0887（2006）02-0243-10 |
| 收稿时间： | 2004-11-10 |
| 修稿时间： | 2005-08-02 |
Invariant Form and Integral Invariants on K(a)hler Manifolds |
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| ZHANG Rong-ye.Invariant Form and Integral Invariants on K(a)hler Manifolds[J].Applied Mathematics and Mechanics,2006,27(2):243-252. |
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| Authors: | ZHANG Rong-ye |
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| Institution: | Institute of Mathematics, Chinese Academia of Sciences, Beijing 100080, P. R. China |
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| Abstract: | The important notions and results of the integral invariants of Poincare and Cartan-Puincare and the relationship between integral invariant and invariant form established first by E. Caftan in the classical mechanics are generalized to Hamilton mechanics on kahler manifold by the theory of modem geometry and advanced calculus, to get wider and deeper related results. |
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| Keywords: | Kahler manifold symplectic manifold invariant form integal invariant vector field form field Lie derivative exterior differential |
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