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We investigate necessary and sufficient conditions for the extendibility andboundedness of Gaussian curvature, Mean curvature and principal curvatures nearall types of singularities on fronts. We also study the convergence to infinitelimits of these geometrical invariants and show how this is tightly related toa particular property of uniform approximation of fronts by parallel surfaces.

Extendibility and boundedness of invariants on singularities of wavefronts