Criteria for $D_4$ singularities of wave fronts

Kentaro Saji

doi:10.2748/tmj/1303219939

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Home > Journals > Tohoku Math. J. (2) > Volume 63 > Issue 1 > Article

2011 Criteria for $D_4$ singularities of wave fronts

Kentaro Saji

Tohoku Math. J. (2) 63(1): 137-147 (2011). DOI: 10.2748/tmj/1303219939

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Abstract

We give useful and simple criteria for determining $D_4^\pm$ singularities of wave fronts. As an application, we investigate behaviors of singular curvatures of cuspidal edges near $D_4^+$ singularities.