完整系统 Tz énoff方程 Lie对称性的共形不变性与守恒量

摘要

By the Tzénoff equations of holonomic systems , the definitions of conformal invariance and conserved quantity of Lie symmetry for Tz énoff equations in holonomic systems are given .Conformal invariance and conserved quantity of Lie symmetry for Tz énoff equations in the systems are studied .The function expressions of conserved quantities and the criterion equations which deduce the conserved quantities are obtained .Finally , an example is given to illustrate the application of the result .%通过完整系统的Tzénoff方程，给出了该系统Tzénoff方程的Lie对称性及其共形不变性的定义，研究了该系统Tzénoff方程Lie对称性的共形不变性及其守恒量，给出了这种守恒量的函数表达式和导出这种守恒量的判据方程，最后给出一个应用实例。