Hostname: page-component-cd9895bd7-gvvz8 Total loading time: 0 Render date: 2024-12-30T20:38:59.719Z Has data issue: false hasContentIssue false
  • English
  • Français

Singularities of ruled surfaces in ℝ3

Published online by Cambridge University Press:  01 March 2001

SHYUICHI IZUMIYA  and
NOBUKO TAKEUCHI
SHYUICHI IZUMIYA
Affiliation:
Department of Mathematics, Hokkaido University, Sapporo 060-0810, Japan. e-mail: [email protected]
NOBUKO TAKEUCHI
Affiliation:
Department of Mathematics, Tokyo Gakugei University, Koganei, Tokyo 184-8501, Japan. e-mail: [email protected]
Get access Rights & Permissions [Opens in a new window]

Abstract

We study singularities of ruled surfaces in ℝ3. The main result asserts that only cross-caps appear as singularities for generic ruled surfaces.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 130 , Issue 1 , January 2001 , pp. 1 - 11
Copyright
2001 Cambridge Philosophical Society

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)