| 准Riemann流形上的广义Boltzmann－Hamel方程 |
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| 引用本文： | 李泉珍,张健. 准Riemann流形上的广义Boltzmann－Hamel方程[J]. 贵州工业大学学报(自然科学版), 1996, 0(6) |
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| 作者姓名： | 李泉珍 张健 |
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| 作者单位： | 贵州工业大学基础部 |
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| 摘 要： | 用张量分析方法，研究高阶非完整约束的力学系统。提出ｍ阶切空间Ｅ３Ｎ（ｍ）的准Ｒｉｅｍａｎｎ流形的新概念，建立相应的高阶广义普遍中心方程，并由此导出准Ｒｉｅｍａｎｎ流形上的高阶Ｂｏｌｔｚｍａｎｎ－Ｈａｍｅｌ方程，举例说明方程的应用。
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| 关 键 词： | 非完整系统；Riemann流形；准Riemann流形；广义Boltzmann－Hamel方程 |
THE GENERALIZED BOLTZMANN - HAMEL''''S EQUATIONS ON QUASI-RIEMANN MANIFOLD |
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| Li Quanzhen, Zhang Jian. THE GENERALIZED BOLTZMANN - HAMEL''''S EQUATIONS ON QUASI-RIEMANN MANIFOLD[J]. Journal of Guizhou University of Technology(Natural Science Edition), 1996, 0(6) |
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| Authors: | Li Quanzhen Zhang Jian |
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| Affiliation: | Department of Basic Sciences; GUT |
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| Abstract: | in this paper, the method of Tensor Analysis is used to discuss the high - order nonholonomic system. A new concept, defined as the Quasi - Riemann Manifold in the m order tangent space E is put forward. Based on the concept, the high - order generalized general center equations are set up, and thus the high - order Boltzmann - Hamel's equation on the Quasi - Riemann Manifold is deduced. Finally, an example is given to demonstrate the application of the equations. |
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| Keywords: | nonholonomic system Riemann manifold Quasi - Riemann manifold genera lized Boltzmann - hamel's equation |
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