A characterization of spheres in Euclidean space
type: Item
instance of: scholarly article
title: A characterization of spheres in Euclidean space
zbMATH Open document ID: 0658.53003
DOI: 10.1007/BF01198633
author: Jaime Ripoll
published in: Archiv der Mathematik
publication date: 1988-01-01T00:00:00Z
review text: It is proven that a complete properly embedded surface with constant mean curvature, contained in a plane cone of \(E^ 3\), must be a round sphere. This generalizes a well-known theorem due \textit{A. D. Alexandrov} [Ann. Math. Pure Appl., IV. Ser. 58, 303-315 (1962; Zbl 0107.156)] on the characterization of spheres.
Mathematics Subject Classification ID: 53A05
Mathematics Subject Classification ID: 53C45
zbMATH DE Number: 4075953
zbMATH Keywords: embedded surface
zbMATH Keywords: constant mean curvature
MaRDI profile type: Publication
cites work: A characteristic property of spheres
full work available at URL: https://doi.org/10.1007/bf01198633
OpenAlex ID: W1974068765
description: scientific article; zbMATH DE number 4075953