约束力学系统的联络及其运动方程的测地性质

用现代整体微分几何方法研究非定常约束力学系统运动方程的测地性质，得到非定常力学系统的动力学流关于１＿射丛上的联络具有测地性质的充分必要条件·非定常情形下的动力学流关于无挠率的联络总具有测地性质，因此任何非定常约束力学系统在外力作用下的运动总可以表示为关于１＿射丛上无挠率的动力学联络的测地运动，这与定常力学的情形有所区别·

Connections and Geodesic Characteristic of Equations of Motion for Constrained Mechanical Systems

The geodesic characteristic of equations of motion for nonautonomous constrained mechanical systems is studied in the modern setting of global differential geometry. A necessary and sufficient condition for the dynamical flow of nonautonomous mechanical system with geodesic characteristic was obtained with respect to a connection on 1_jet bundle. The dynamical flow concerning the non_autonomous case was always of geocesic characteristic with regard to torsionfree connections. Thus the motion of any nonautonomous mechanical system with constraints can be always represented by the motion along the geodesic line of torsion_connection on 1_jet bundle, which is different from the case in an autonomous mechaincal system.