| 经典力学的微分几何方法 |
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| 引用本文： | 卢新平.经典力学的微分几何方法[J].闽江学院学报,1998(1). |
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| 作者姓名： | 卢新平 |
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| 摘 要： | 本文把现代微分几何的基本概念与方法应用于经典力学，给出一种推导完整系统动力学方程的极为简捷的方法．进而在相空间构造一个向董杨，使其积分曲线为哈密顿方程的解，并导出相流的一些积分不变量。
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| 关 键 词： | 流形 切空间 相空间 相流 |
Metheods of Differential Geometry in Classical Mechanics |
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| Lu Xinping.Metheods of Differential Geometry in Classical Mechanics[J].Journal of Minjiang University,1998(1). |
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| Authors: | Lu Xinping |
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| Abstract: | In this paper, the basic ideas and methods of modern differential geometry are used in classical mechanics. We give a quick method for writing equations of holonomic systems. on phase space we construct vector fields whose integral curves satisfy Hamilton's equations and obtain some integral invariant of a hamiltonian phase flow. |
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| Keywords: | manifolds tangent spaces phase space phase flow |
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