Singularities of non-degenerate 2-ruled hypersurfaces in 4-space.
type: Item
instance of: scholarly article
title: Singularities of non-degenerate 2-ruled hypersurfaces in 4-space.
zbMATH Open document ID: 1038.53016
author: Kentaro Saji
published in: Hiroshima Mathematical Journal
publication date: 2002-01-01T00:00:00Z
review text: The author studies singularities of 2-ruled hypersurfaces in the 4-dimensional Euclidean space. In Section 2 non-degenerate 2-ruled hypersurfaces as an analogue of classical noncylindrical ruled surfaces are defined and studied. The main result of the paper is contained in Theorem 2.5 and its proof is given in Section 4. In Section 5 the author defines almost non-degenerate 2-ruled hypersurfaces which are generic in the usual sense and are non-degenerate almost everywhere. It is shown that the set of 2-ruled hypersurfaces whose map germ at any point is right-left equivalent to the cross cap \(X\) interval or an immersion germ contains an open and dense subset of the space of 2-ruled hypersurfaces.
reviewed by: Dorin Andrica
Mathematics Subject Classification ID: 53A25
Mathematics Subject Classification ID: 53A07
Mathematics Subject Classification ID: 58K30
zbMATH DE Number: 1874216
zbMATH Keywords: 2-ruled hypersurfaces
zbMATH Keywords: striction curves
zbMATH Keywords: singularities
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.32917/hmj/1151007560
OpenAlex ID: W2169465487
Wikidata QID: Q128869745
DOI: 10.32917/HMJ/1151007560
description: scientific article; zbMATH DE number 1874216