On Properties of Torsional Metric Spaces
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, t...
Na minha lista:
| Autor principal: | |
|---|---|
| Outros Autores: | |
| Formato: | Artículo |
| Idioma: | en_US |
| Publicado em: |
2018
|
| Assuntos: | |
| Acesso em linha: | https://doi.org/10.4236/jmp.2018.99113 https://www.scirp.org/journal/PaperInformation.aspx?PaperID=86543 |
| Tags: |
Adicionar Tag
Sem tags, seja o primeiro a adicionar uma tag!
|
| Resumo: | 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. |
|---|