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DYNAMICS IN NEWTONIAN-RIEMANNIAN SPACETIME (Ⅰ)

DYNAMICS IN NEWTONIAN-RIEMANNIAN SPACETIME (Ⅰ)
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摘要 By the theory of Modern Geometry, the mechanical principle and advanced calculus, the dynamics in Newtonian_Galilean spacetime is generalized to Newtonian_Riemannian Spacetime, and the dynamics in N_R spacetime is established. Being divided it into some parts. This paper is one of them. The others are to be continued. By the theory of Modern Geometry, the mechanical principle and advanced calculus, the dynamics in Newtonian_Galilean spacetime is generalized to Newtonian_Riemannian Spacetime, and the dynamics in N_R spacetime is established. Being divided it into some parts. This paper is one of them. The others are to be continued.
出处 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2000年第7期825-835,共11页 应用数学和力学(英文版)
关键词 Riemannian manifold connection absolute differential Lie derivative exterior differential co_moving time derivative fiber bundle duality pairing Riemannian manifold connection absolute differential Lie derivative exterior differential co_moving time derivative fiber bundle duality pairing
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