Desingularizing soap-film-like surfaces
type: Item
instance of: scholarly article
title: Desingularizing soap-film-like surfaces
zbMATH Open document ID: 0586.49025
DOI: 10.1016/0001-8708(85)90116-1
author: Fred Kochman
published in: Advances in Mathematics
publication date: 1985-01-01T00:00:00Z
review text: A procedure is described for desingularizing soap-film-like surfaces with boundary, leaving a piecewise smooth manifold behind, by deleting certain prescribed extra faces. The criterion for deletion is the vanishing of a certain linking number, and the correctness of the procedure depends on the classification of the singular set into triple lines and tetrahedral points.
Mathematics Subject Classification ID: 49Q05
Mathematics Subject Classification ID: 49Q15
Mathematics Subject Classification ID: 53A10
zbMATH DE Number: 3940104
zbMATH Keywords: desingularizing soap-film-like surfaces
MaRDI profile type: Publication
full work available at URL: 0001-8708(85)90116-1
OpenAlex ID: W2081186075
cites work: Q5550039
cites work: Q4076412
cites work: Examples of unknotted curves which bound only surfaces of high genus within their convex hulls
cites work: On boundary regularity for Plateau's problem
cites work: Boundary regularity and embedded solutions for the oriented Plateau problem
cites work: The structure of singularities in soap-bubble-like and soap-film-like minimal surfaces
description: scientific article; zbMATH DE number 3940104