Abstract
We investigate singularities of all parallel surfaces to a given regular surface. In generic context, the types of singularities of parallel surfaces are cuspidal edge, swallowtail, cuspidal lips, cuspidal beaks, cuspidal butterfly and 3-dimensional $D_4^\pm$ singularities. We give criteria for these singularity types in terms of differential geometry (Theorems 3.4 and 3.5).
Citation
Toshizumi Fukui. Masaru Hasegawa. "Singularities of parallel surfaces." Tohoku Math. J. (2) 64 (3) 387 - 408, 2012. https://doi.org/10.2748/tmj/1347369369
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