Abstract
We give a geometrical formulation of Einstein’s equivalence principle on a four-dimensional manifoldM using a bundle associated to the bundle of frames ofM, with fiber GL(4,R)/O(3,1) and study some topological consequences of this principle. We discuss briefly classical theories of gauge fields and their associated matter fields using the formalism of principal connections and indicate their relation with various theories of gravitation. In particular, we clarify the role that the various symmetry groups play in studying coupled fields.
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