Journal of Singularities
volume 4 (2012), 35-67
Received: 3 October 2011. Received in revised form: 9 January 2012.
We investigate the differential geometric ingredients for Whitney umbrella, which is known as the only stable singularity of surface to 3-dimensional Euclidean space. We obtain several criteria of the singularity types of fronts of Whitney umbrella in terms of differential geometric language we discuss.
Mathematical Subject Classification:
Primary 53A05; Secondary 58K20
|Toshizumi Fukui||Masaru Hasegawa|
|Department of Mathematics, Faculty of Science||Department of Mathematics, Faculty of Science|
|Saitama University||Saitama University|
|255 Shimo-Okubo||255 Shimo-Okubo|
|Sakura-ku, Saitama 338-8570, Japan||Sakura-ku, Saitama 338-8570, Japan|
|email: email@example.com||email: firstname.lastname@example.org|