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On Properties of Torsional Metric Spaces
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作者 hector alejandro trejo-mandujano George H. Goedecke 《Journal of Modern Physics》 2018年第9期1793-1806,共14页
We apply general tensor calculus to arbitrary nonrelativistic classical Lagrangian systems and derive general relationships between the torsion tensor and other quantities associated with the coordinate configuration ... We apply general tensor calculus to arbitrary nonrelativistic classical Lagrangian systems and derive general relationships between the torsion tensor and other quantities associated with the coordinate configuration space, such as the metric, the Christoffel symbols, the Euler-Lagrange equations, the affine connections, and the curvature tensor. Using Euler angle metric spaces as examples of spaces with nonzero torsion, we calculate these quantities for nonrelativistic rigid rotators of arbitrary structure. For free rotations, we show that the Euler-Lagrange equations agree with the manifestly correct Euler equations. 展开更多
关键词 TORSION RIGID ROTATORS EULER ANGLE Metrics
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