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