Hostname: page-component-7479d7b7d-8zxtt Total loading time: 0 Render date: 2024-07-12T13:10:13.171Z Has data issue: false hasContentIssue false
  • English
  • Français

Normal developable surfaces of surfaces along curves

Part of: Differential topology

Published online by Cambridge University Press:  06 January 2017

Satoshi Hananoi  and
Shyuichi Izumiya
Satoshi Hananoi
Affiliation:
Fudooka High School, 1-7-45 Fudooka, Kazo, Saitama 347-8513, Japan (noi.87noi@gmail.com)
Shyuichi Izumiya
Affiliation:
Department of Mathematics, Hokkaido University, Sapporo 060-0810, Japan (izumiya@math.sci.hokudai.ac.jp)
Get access Rights & Permissions [Opens in a new window]

Extract

We consider a developable surface normal to a surface along a curve on the surface. We call it a normal developable surface along the curve on the surface. We investigate the uniqueness and the singularities of such developable surfaces. We discover two new invariants of curves on a surface that characterize these singularities.

Keywords

normal developable surfacescurves on surfacesDarboux frames

MSC classification

Secondary: 57R45: Singularities of differentiable mappings
Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 147 , Issue 1 , February 2017 , pp. 177 - 203
Copyright
Copyright © Royal Society of Edinburgh 2017 

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.)