Kähler流形上的不变形式和积分不变量

Invariant Form and Integral Invariants on Kähler Manifolds

Institute of Mathematics, Chinese Academia of Sciences, Beijing 100080, P. R. China

摘要: 用现代微分几何理论和高等微积分把Poincaré和Cartan-Poincaré积分不变量的重要思想和结果以及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Kähler流形上的Hamilton力学中去,得到相应的更广泛的结果．
- Kähler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
Abstract: The important notions and results of the integral invariants of Poincar and Car tan-Poincar and the relationship between integral invariant and invariant form established first by E. Cartan in the classical mechanics are generalized to Hamilton mechanics on Kähler manifold by the theory of modern geometry and advanced calculus, to get wider and deeper related results.
- Kähler manifold /
- symplectic manifold /
- invariant form /
- integal invariant /
- vector field /
- form field /
- Lie derivative /
- exterior differential

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