Abstract
This paper investigates conformal invariance and conserved quantities of nonmaterial volumes. An infinitesimal transformation group and infinitesimal transformations vectors of generators are proposed. The definition of conformal invariance and the determining equation for the systems are presented. The necessary and sufficient conditions of conformal invariance being Noether symmetrical simultaneously by the action of infinitesimal transformations are given. The conformal factor is deduced from the conformal invariance and Noether symmetry. The corresponding Noether conserved quantities are derived with the aid of a structure equation. Three examples are given to illustrate application of the method, the corresponding conserved quantities are obtained under the conformal invariance and Noether symmetry.
Published Version
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