| 力学的几何化 |
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| 引用本文： | 武际可.力学的几何化[J].力学与实践,2017,39(4):323-332. |
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| 作者姓名： | 武际可 |
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| 作者单位： | 北京大学力学与工程科学系 100871 |
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| 摘 要： | 本文介绍了力学发展过程中,力学理论系统的几何化.把力学的动力系统归结于黎曼几何、辛几何的几何课题,以及对偶概念、对称概念、变换和不变量概念在力学中的普遍应用.
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| 关 键 词： | 力学 几何化 对偶 黎曼几何 辛几何 变换 不变量 |
| 收稿时间： | 2017-05-11 |
GEOMETRIZATION OF MECHAINICS |
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| WU Jike.GEOMETRIZATION OF MECHAINICS[J].Mechanics and Engineering,2017,39(4):323-332. |
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| Authors: | WU Jike |
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| Institution: | Departmemt of Mechanics and Engineering sciences, Peking University, Beijing 100871, China |
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| Abstract: | In the development of mechanics,the geometrization of theoretical systems of mechanics,is intro-duced. Dynaminc systems of mechanics reduced to Riemann geometry and Symplectic geometry are presented, the concepts of duel space, symmetry, transform, invariant, and there general applications in mechanics are introducd. |
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| Keywords: | mechanics geometrization duel space Riemann geometry Symplectic geometry transformation invariant |
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