Height functions on Whitney umbrellas
Differential Geometry
2012-12-10 v4
Abstract
We study the singularities of the members of the family of height functions on Whitney umbrellas, which is also known as cross-caps, and show that the family of the height functions is a versal unfolding. Moreover, we study local intersections of a Whitney umbrella with a hyperplane through its singular point.
Cite
@article{arxiv.1205.3044,
title = {Height functions on Whitney umbrellas},
author = {Toshizumi Fukui and Masaru Hasegawa},
journal= {arXiv preprint arXiv:1205.3044},
year = {2012}
}