Kähler流形上的Hamilton力学

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Hamiltonian Mechanics on K3/4hler Manifolds

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

摘要: 利用力学原理、现在微分几何理论和高等微积分把Hamilton力学推广至K?hler流形上，建立K?hler流形上Hamilton力学，并得到Hamilton向量场、Hamilton方程等复的数学形式．
- K?hler流形 /
- 联络 /
- 绝对微分 /
- Lie导数 /
- Hamilton向量场 /
- 1-参数群
Abstract: The mechanical principle,the theory of Modem geometry and advanced calculus,Hamiltonian mechanic was generalized to K3/4hler manifolds,and the Hamiltonian Mechanic on K3/4hler Manifolds was established.Then the complex mathematical aspect of Hamiltonian vector field and Hamilton's equations etc was obtained.
- K3/4hler manifold /
- connection /
- absolute differential /
- Lie derivative /
- Hamiltonian vector /
- 1-parameter group

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