Singularities of non-degenerate n-ruled (n + 1)-manifolds in Euclidean space

Kentaro Saji. "Singularities of non-degenerate n-ruled (n + 1)-manifolds in Euclidean space." Banach Center Publications 65.1 (2004): 211-225. <http://eudml.org/doc/282024>.

@article{KentaroSaji2004,
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 × interval. The behavior of a generic n-ruled (n + 1)-manifold is also discussed.},
author = {Kentaro Saji},
journal = {Banach Center Publications},
keywords = {ruled manifold; singularity},
language = {eng},
number = {1},
pages = {211-225},
title = {Singularities of non-degenerate n-ruled (n + 1)-manifolds in Euclidean space},
url = {http://eudml.org/doc/282024},
volume = {65},
year = {2004},
}

TY - JOUR
AU - Kentaro Saji
TI - Singularities of non-degenerate n-ruled (n + 1)-manifolds in Euclidean space
JO - Banach Center Publications
PY - 2004
VL - 65
IS - 1
SP - 211
EP - 225
AB - 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.
LA - eng
KW - ruled manifold; singularity
UR - http://eudml.org/doc/282024
ER -