A new geometrical look at gravity coupled with Yang-Mills fields

A new geometrical framework for tetrad-affine formulation of gravity, pure or coupled with Yang-Mills fields, is proposed. After analyzing the geometrical properties of the new mathematical setting, field equations are deduced from a variational principle in the Poincare-Cartan formalism. A generalized Noether Theorem is stated and classical relationship between symmetries and conserved quantities are recovered in the newer scheme. Some explicit examples are given