Singularities of non-degenerate $n$-ruled $(n+1)$-manifolds in Euclidean space
Volume 65 / 2004
Banach Center Publications 65 (2004), 211-225
MSC: Primary 57R45; Secondary 53A25, 53A07.
DOI: 10.4064/bc65-0-14
Abstract
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 $\times$ interval. The behavior of a generic $n$-ruled $(n+1)$-manifold is also discussed.
