Riemann-Cartan空间中的d’Alembert-Lagrange原理

d'Alembert-Lagrange principle on Riemann-Cartan space

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.

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-Iagrange principle of nonholonomic constrained systems in Euclidean space is reduced to an “unconstrained” representation on Riemann-Cartan space.