Abstract
Coordinate-free representations of the Riemann and Einstein tensors are obtained, and approximate diffeomorphism invariance is shown to exist for near-flat simplicial geometries with sufficiently fat triangulations. Then, by finding the analogues of the contracted Bianchi identities for these near-flat geometries, interdependence of the Regge equations is shown, and the relation to the coordinate degrees of freedom of the continuum is discussed.
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