Complete minimal surfaces and minimal herissons
type: Item
instance of: scholarly article
title: Complete minimal surfaces and minimal herissons
zbMATH Open document ID: 0657.53004
author: Harold Rosenberg
author: Eric Toubiana
published in: Journal of Differential Geometry
publication date: 1988-01-01T00:00:00Z
review text: The authors study a class W of minimal surfaces in \({\mathbb{R}}^ 3\) of finite total curvature C: up to a finite number of branch points the surfaces in W are complete. In other words, they are Abelian minimal surfaces in the sense of \textit{L. Bers} [J. Anal. Math. 1, 43-58 (1951; Zbl 0045.425)] with finite C. See also \textit{Y. W. Chen} [Ann. Math., II. Ser. 49, 790-806 (1948; Zbl 0038.331)]. In the present paper minimal herissons, surfaces in W with \(C=-4\pi\), are studied.
Mathematics Subject Classification ID: 53A10
zbMATH DE Number: 4073864
zbMATH Keywords: minimal surfaces
zbMATH Keywords: finite total curvature
zbMATH Keywords: minimal herissons
reviewed by: Fritz Gackstatter
Wikidata QID: Q115183634
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.4310/jdg/1214442162
OpenAlex ID: W1571823127
DOI: 10.4310/JDG/1214442162
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description: scientific article; zbMATH DE number 4073864