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A gauge theory of gravity based on a nonlinear realization (NLR) of the localConform-Affine (CA) group of symmetry transformations is presented. The coframefields and gauge connections of the theory are obtained. The tetrads andLorentz group metric are used to induce a spacetime metric. The inhomogenouslytransforming (under the Lorentz group) connection coefficients serve asgravitational gauge potentials used to define covariant derivativesaccommodating minimal coupling of matter and gauge fields. On the other hand,the tensor valued connection forms serve as auxillary dynamical fieldsassociated with the dilation, special conformal and deformational (shear)degrees of freedom inherent in the bundle manifold. The bundle curvature of thetheory is determined. Boundary topological invariants are constructed. Theyserve as a prototype (source free) gravitational Lagrangian. The Bianchiidentities, covariant field equations and gauge currents are obtained.

Nonlinear Realization of the Local Conform-Affine Symmetry Group for Gravity in the Composite Fiber Bundle Formalism