Conformal invariance and Hojman conservedquantities of first order Lagrange systems

In this paper the conformal invariance by infinitesimaltransformations of first order Lagrange systems is discussed indetail. The necessary and sufficient conditions of conformalinvariance and Lie symmetry simultaneously by the action ofinfinitesimal transformations are given. Then it gets the Hojmanconserved quantities of conformal invariance by the infinitesimaltransformations. Finally an example is given to illustrate theapplication of the results.