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

• Autorzy: Kentaro Saji
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 53A07: Higher-dimensional and -codimensional surfaces in Euclidean n -space
• 53A25: Differential line geometry
• 57R45: Singularities of differentiable mappings

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2004
• Tom: 65
• Numer: 1
• Strony: 211-225

Daty

wydano

2004

Twórcy

autor

Kentaro Saji

• Department of Mathematics, Graduate School of Science, Hiroshima University, Higashi-Hiroshima 739-8526, Japan

Identyfikatory

DOI

10.4064/bc65-0-14