Constant curvature 2-spheres in the 4-sphere
type: Item
instance of: scholarly article
title: Constant curvature 2-spheres in the 4-sphere
zbMATH Open document ID: 0664.53029
DOI: 10.1007/BF01230286
published in: Mathematische Zeitschrift
publication date: 1989-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/174006
review text: In the present paper, using the minimal Cartan hypersurface in the 4- sphere \(S^ 4\), the authors construct a continuous family \(f_ R: S^ 2(R)\to S^ 4,\) \(0<R<4\), of non-standard isometric immersions of the 2- sphere of constant curvature \(1/R^ 2\), which are embedding for \(R<1.6\).
Mathematics Subject Classification ID: 53C42
Mathematics Subject Classification ID: 53C40
zbMATH DE Number: 4086470
zbMATH Keywords: Cartan hypersurface
zbMATH Keywords: 4-sphere
zbMATH Keywords: isometric immersions
zbMATH Keywords: constant curvature
author: Dirk Ferus
author: Ulrich Pinkall
reviewed by: Toru Ishihara
MaRDI profile type: Publication
cites work: Isometric immersions of space forms in space forms
OpenAlex ID: W2087395351
description: scientific article; zbMATH DE number 4086470