9 citations · 9 across the 2 of their papers we have counts for
2 papers
math.DG2012★ 9 cited
Height functions on Whitney umbrellas
Toshizumi Fukui, Masaru Hasegawa
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 function…
math.DG2012
Singularities of parallel surfaces
Toshizumi Fukui, Masaru Hasegawa
We investigate singularities of all parallel surfaces to a given regular surface. In generic context, the types of singularities of parallel surfaces are cuspidal edge, swallowtail…