Tohoku Mathematical Journal
2011
March
SECOND SERIES VOL. 63, NO. 1

Tohoku Math. J.
63 (2011), 137-147

Title CRITERIA FOR $D_4$ SINGULARITIES OF WAVE FRONTS

Author Kentaro Saji

(Received July 21, 2010, revised October 21, 2010)
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.

2000 Mathematics Subject Classification. Primary 57R45; Secondary 53D99, 53A05.
Key words and phrases. Wave front, $D_4$ singularity, criteria, singular curvature.

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