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将Kleinert提出的不可积映射推广为一阶线性映射.通过这种方法，将Riemann-Cartan空间嵌入到欧氏空间.在此基础上，将通常在欧氏空间中描述约束系统的d'Alembert-Lagrange原理推广到Riemann-Cartan空间的“无约束”表示.
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关键词:
- 一阶线性映射 /
- Riemann-Cartan空间 /
- 挠率 /
- d'Alembert-Lagrange原理
The nonholonomic mapping put forward by Kleinert is generalized to a first-order linear mapping. By means of this method, Riemann-Cartan space is embedded into Euclidean space. Based on this construction, the d'Alembert-Lagrange principle of nonholonomic constrained systems in Euclidean space is reduced to an “unconstrained” representation on Riemann-Cartan space.-
Keywords:
- first-order linear mapping /
- Riemann-Cartan space /
- torsion /
- d'Alembert-Lagrange principle
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中国物理学会期刊
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