Kahler流形上的Hamilton力学  

Hamiltonian Mechanics on Khler Manifolds

作　　者：张荣业[1] 周哲玮（推荐） 

机构地区：[1]中国科学院数学研究所,北京100080 [2]不详

出　　处：《应用数学和力学》2006年第3期316-324,共9页Applied Mathematics and Mechanics

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Kahler流形上,建立Kahler流形上Hamilton力学,并得到Hamilton向量场、Hamilton方程等复的数学形式.The mechanical principle, the theory of Modem geometry and advanced calculus, Hamiltonian mechanic was generalized to Kaehler manifolds, and the Hamiltonian Mechanic on Kaehler Manifolds was established. Then the complex mathematical aspect of Hamiltonian vector field and Hamilton＇s equations etc was obtained.

关 键 词：KAEHLER流形 联络 绝对微分 Lie导数 HAMILTON向量场 1-参数群 

分 类 号：O313.3[理学—一般力学与力学基础]