Piecewise smooth developable surfaces
type: Item
instance of: scholarly article
title: Piecewise smooth developable surfaces
zbMATH Open document ID: 1180.53005
DOI: 10.1134/S0081543808040160
published in: Proceedings of the Steklov Institute of Mathematics
publication date: 2009-10-23T00:00:00Z
review text: The first half of the paper is a detailed discussion of developable surfaces in Euclidean 3-space. A developable surface with an edge of regression cannot be mapped isometrically into the plane because the points on the edge of regression do not have neighborhoods isometric to Euclidean disks. Here pieces of developable surfaces are considered which are smooth except along an edge where every point has a neighborhood isometric to a Euclidean disk. The main result of this paper is the following: In general, one part of such a surface which is bounded by the edge uniquely determines the other part.
reviewed by: Erhard Heil
Mathematics Subject Classification ID: 53A05
Mathematics Subject Classification ID: 52C25
zbMATH DE Number: 5619801
zbMATH Keywords: developable surface
zbMATH Keywords: edge
author: Mikhail Shtogrin
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 5619801