Isometric deformations of hypersurfaces in a Euclidean space preserving mean curvature
type: Item
instance of: scholarly article
title: Isometric deformations of hypersurfaces in a Euclidean space preserving mean curvature
zbMATH Open document ID: 0761.53003
author: M. Kokubu
published in: Tôhoku Mathematical Journal. Second Series
publication date: 1993-04-01T00:00:00Z
review text: Under some conditions the \(H\)-deformability of hypersurfaces in \(\mathbb{R}^ n\) \((n\geq 4)\) is discussed. An \(H\)-deformation means an isometric deformation preserving mean curvature function. \(H\)-deformable surfaces in \(\mathbb{R}^ 3\) can be considered as a kind of generalization of constant mean curvature surfaces, but \(H\)-deformable hypersurfaces are not such a generalization.
Mathematics Subject Classification ID: 53A07
Mathematics Subject Classification ID: 53C42
zbMATH DE Number: 146183
zbMATH Keywords: \(H\)-deformability
zbMATH Keywords: hypersurfaces
zbMATH Keywords: isometric deformation preserving mean curvature function
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2748/tmj/1178227307
OpenAlex ID: W2000333705
Wikidata QID: Q125765617
cites work: Q5782044
cites work: Q3681487
cites work: Isometric deformation of surfaces in \(R^ 3\) preserving the mean curvature function
cites work: Gauss parametrizations and rigidity aspects of submanifolds
cites work: Q3040034
cites work: A Characterization of Compact Surfaces with Constant Mean Curvature
DOI: 10.2748/TMJ/1178227307
description: scientific article; zbMATH DE number 146183