Published: March 30, 2011Received: July 21, 2010Released on J-STAGE: December 17, 2014Accepted: -
Advance online publication: -
Revised: October 21, 2010
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.
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