| On the Geometrical Meaning of the Dynamic Equations in Analytical Mechanics |
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| 引用本文： | 刘书振,陈书勤,等. On the Geometrical Meaning of the Dynamic Equations in Analytical Mechanics[J]. 数学季刊, 1993, 8(3): 66-70 |
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| 作者姓名： | 刘书振 陈书勤 等 |
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| 作者单位： | Department of physics.Henan University，Department of physics.Henan University，Department of physics.Henan University Kaifeng 475001，Henan，Kaifeng 475001，Henan，Kaifeng 475001，Henan |
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| 基金项目： | Work supported by NSF of Henan Education Commission |
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| 摘 要： | In this paper,the modern geometrical structure of analytical mechanics,the exteriordifferential forms and the geometrical meaning of dynamic equations are briefly discussed.
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| 关 键 词： | 分析力学 动力学方程 外微分形式 切丛 辨形 几何结构 拉格朗日方程 Hamilton典范方程 Hamilton－Jacobi方程 牛顿方程 |
On the Geometrical Meaning of the Dynamic Equations in Analytical Mechanics |
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| Liu Shuzhen Chen Shuqin Wang Huimin. On the Geometrical Meaning of the Dynamic Equations in Analytical Mechanics[J]. Chinese Quarterly Journal of Mathematics, 1993, 8(3): 66-70 |
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| Authors: | Liu Shuzhen Chen Shuqin Wang Huimin |
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| Affiliation: | Departmentofphysics,HenanUniversity,Kaifeng475001,Henan |
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| Abstract: | In this paper,the modern geometrical structure of analytical mechanics,the exterior differential forms and the geometrical meaning of dynamic equations are birefly discussed. |
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| Keywords: | fibre tangent and cotangent bundles symplectic manifolds riemannian kinemic metric integral manifolds |
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