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

Banach Center Publications (2004)

- Volume: 65, Issue: 1, page 211-225
- ISSN: 0137-6934

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topKentaro 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 -

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