摘要
根据现代微分几何的理论 ,力学原理及现代微积分把Newtonian_Galilean时空中的动力学推广到Newtonian_Riemannian时空中 ,建立N_R时空中的动力学 ,分几个部分 ,(Ⅰ )是其中之一 。
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. Beng divided into some parts, this paper is one of them. The other are to be continued.
出处
《应用数学和力学》
CSCD
北大核心
2000年第7期746-754,共9页
Applied Mathematics and Mechanics
关键词
连络
力学原理
牛顿-黎曼时空
动力学
纤维丛
Riemannian manifold
connection
absolute differential
Lie derivative
exterior differential
co_moving time derivative
fiber bundle
duality pairing
