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We study singularities of Gauss maps of fronts and give characterizations oftypes of singularities of Gauss maps by geometric properties of fronts whichare related to behavior of bounded principal curvatures. Moreover, weinvestigate relation between a kind of boundedness of Gaussian curvatures nearcuspidal edges and types of singularities of Gauss maps of cuspidal edges.Further, we consider extended height functions on fronts with non-degeneratesingular points.

Singularities of Gauss maps of wave fronts with non-degenerate singular points