Fronts of Whitney umbrella – a differential geometric approach via blowing up
Toshizumi Fukui and Masaru Hasegawa
Journal of Singularities
volume 4 (2012), 35-67
Received: 3 October 2011. Received in revised form: 9 January 2012.
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Abstract:
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.
Keywords:
Mathematical Subject Classification:
Primary 53A05; Secondary 58K20
Author(s) information:
| 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: tfukui@rimath.saitama-u.ac.jp | email: s07dm003@mail.saitama-u.ac.jp |
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