抄録
We study the geometry of curves passing through the Whitney umbrella singularities by using a Darboux frame. We define three functions using a Frenet–Serret type formula related to the geodesic curvature, the normal curvature, and the geodesic torsion. We investigate the degrees of divergence, the top terms of these functions, and their geometric meanings. We also consider a developable surface along the curve.
https://ror.org/03tgsfw79 
