On the Geometrical Meaning of the Dynamic Equations in Analytical Mechanics

数学季刊 ›› 1993, Vol. 8 ›› Issue (3): 66-70.

On the Geometrical Meaning of the Dynamic Equations in Analytical Mechanics

Department of physics.Henan University,Department of physics.Henan University,Department of physics.Henan University Kaifeng 475001,Henan,Kaifeng 475001,Henan,Kaifeng 475001,Henan

收稿日期:1993-03-13 出版日期:1993-09-30 发布日期:2025-05-29
基金资助:
Work supported by NSF of Henan Education Commission

On the Geometrical Meaning of the Dynamic Equations in Analytical Mechanics

Department of physics.Henan University,Department of physics.Henan University,Department of physics.Henan University Kaifeng 475001,Henan,Kaifeng 475001,Henan,Kaifeng 475001,Henan

Received:1993-03-13 Online:1993-09-30 Published:2025-05-29
Supported by:
Work supported by NSF of Henan Education Commission

摘要/Abstract

摘要： In this paper,the modern geometrical structure of analytical mechanics,the exterior differential forms and the geometrical meaning of dynamic equations are briefly discussed.

关键词: fibre, tangent and cotangent bundles, symplectic manifolds, riemannian kinemic
metric, integral manifolds

Abstract: In this paper,the modern geometrical structure of analytical mechanics,the exterior differential forms and the geometrical meaning of dynamic equations are briefly discussed.

Key words: fibre, tangent and cotangent bundles, symplectic manifolds, riemannian kinemic
metric, integral manifolds

刘书振, 陈书勤, 王惠民. On the Geometrical Meaning of the Dynamic Equations in Analytical Mechanics[J]. 数学季刊, 1993, 8(3): 66-70.

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.

On the Geometrical Meaning of the Dynamic Equations in Analytical Mechanics

On the Geometrical Meaning of the Dynamic Equations in Analytical Mechanics

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