,Conformal invariance and Hojman conserved quantities of first order Lagrange systems

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In this paper the conformal invaxiance by infinitesimal transformations of first order Lagrange systems is discussed in detail.The necessary and sufficient conditions of conformal invariance and Lie symmetry simultaneously by the action of infinitesimal transformations are given.Then it gets the Hojman conserved quantities of conformal invariance by the infinitesimal transformations.Finally an example is given to illustrate the application of the results.
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