Birkhoff系统的Hojman定理的几何基础

Geometric foundations of Hojman theorem for Birkhoffian systems

研究了Birkhoff系统的Hojman定理的几何基础.建立了系统的运动微分方程和Hojman守恒定理,利用现代微 分几何给出了Birkhoff系统的Hojman定理的一个证明.

This paper studies the geometric foundations of Hojman theorem for Brikhoffian systems. The differential equations of motion and the Hojman conservation law of the systems are established. A proof of Hojman theorem of Birkhoffian systems is given by use of the modern differential geometry.