Hypersurfaces with constant scalar curvature and constant mean curvature
type: Item
instance of: scholarly article
title: Hypersurfaces with constant scalar curvature and constant mean curvature
zbMATH Open document ID: 0823.53045
DOI: 10.1007/BF00774569
author: T. Vlachos
author: Thomas Hasanis
published in: Annals of Global Analysis and Geometry
publication date: 1995-06-06T00:00:00Z
review text: According to the authors' abstract, ``non-spherical hypersurfaces in \(E^ 4\) with non-zero constant mean curvature and constant scalar curvature are the only hypersurfaces possessing the following property: Its position vector can be written as a sum of two non-constant maps, which are eigenmaps of the Laplacian operator with corresponding eigenvalues the zero and a non-zero constant''.
Mathematics Subject Classification ID: 53C42
Mathematics Subject Classification ID: 53A07
zbMATH DE Number: 761180
zbMATH Keywords: hypersurfaces in \(E^ 4\)
zbMATH Keywords: constant mean curvature
zbMATH Keywords: constant scalar curvature
zbMATH Keywords: eigenmaps of the Laplacian
reviewed by: Li Ma
MaRDI profile type: Publication
cites work: Q3322795
cites work: Null 2-type surfaces in \(E^ 3\) are circular cylinders
cites work: Some 2-type submanifolds and applications
cites work: Hypersurfaces in E4 with Harmonic Mean Curvature Vector Field
cites work: Minimal immersions of Riemannian manifolds
description: scientific article; zbMATH DE number 761180