Newton-Riemann时空中的动力学(Ⅳ)

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Dynamics in Newtonian-Riemannian Space-Time(Ⅳ)

摘要: 讨论了Newton-Riemann时空中的Lagrange力学及其与N-R时空中的Newton力学及Hamilton力学的关系。
- Riemann流形 /
- 切丛 /
- 余切丛 /
- 纤维丛 /
- 纤维 /
- 向量场 /
- 形式场 /
- 外微分 /
- 绝对微分 /
- Lie导数 /
- 泛函 /
- 变分
Abstract: Lagrangian mechanics in Newtonian-Riemannian space-time and relationship between Lagrangian mechanics and Newtonian mechanics,and between Lagrangian mechanics and Hamiltonian mechanics in N-R space-time are discussed.
- Riemannian manifold /
- tangent bundle /
- cotangent bundle /
- fiber bundle /
- fiber /
- vector field /
- form field /
- exterior differential /
- absolute differential /
- Lie derivative /
- functional /
- variation

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