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.
@article{1303219939,
author = {Saji, Kentaro},
title = {Criteria for $D\_4$ singularities of wave fronts},
journal = {Tohoku Math. J. (2)},
volume = {63},
number = {1},
year = {2011},
pages = { 137-147},
language = {en},
url = {http://dml.mathdoc.fr/item/1303219939}
}
Saji, Kentaro. Criteria for $D_4$ singularities of wave fronts. Tohoku Math. J. (2), Tome 63 (2011) no. 1, pp. 137-147. http://gdmltest.u-ga.fr/item/1303219939/