摘要
In this paper the conformal invariance by infinitesimal transformations of first-order Lagrange systems is discussed in detail. The necessary and sumeient conditions of conformal invariance by the action of infinitesimal transformations being Lie symmetry simultaneously are given. Then we get the conserved quantities of conformal invariance by the infinitesimal transformations. Finally an example is given to illustrate the application of the results.
基金
supported by National Natural Science Foundation of China under Grant Nos.10472040,10572021,and 10772025
the Outstanding Young Talents Training Fund of Liaoning Province of China under Grant No.3040005
