The objective of this paper is to study singularities of n-ruled (n + 1)-manifolds in Euclidean space. They are one-parameter families of n-dimensional affine subspaces in Euclidean space. After defining a non-degenerate n-ruled (n + 1)-manifold we will give a necessary and sufficient condition for such a map germ to be right-left equivalent to the cross cap × interval. The behavior of a generic n-ruled (n + 1)-manifold is also discussed.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc65-0-14,
author = {Kentaro Saji},
title = {Singularities of non-degenerate n-ruled (n + 1)-manifolds in Euclidean space},
journal = {Banach Center Publications},
volume = {65},
year = {2004},
pages = {211-225},
zbl = {1070.57019},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc65-0-14}
}
Kentaro Saji. Singularities of non-degenerate n-ruled (n + 1)-manifolds in Euclidean space. Banach Center Publications, Tome 65 (2004) pp. 211-225. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc65-0-14/