Transformation-Theoretic Problems in Variant Field Theory--II: Lagrangian Classes Admitting an r-Parameter Invariance Group.
A study of the most general Lagrangian functions for which field equations of Variant Field Theory are such that geometric object fields comprising the dependent variable set are invariant under a finite continuous group of coordinate transformations. The arguments are based on the concept of a geometry class. This enables the results to be cast in as general a context as possible yet allowing the derivation of specific systems of partial differential equations whose solution manifolds span the class of admissible Lagrangian functions. 40 pp